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Finding the Third Proportional to 2,274 and 5,821.13

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Solution

The third proportional to 2,274 and 5,821.13 is: 14,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274 : 5,821.13 = 5,821.13 : x
  2. Step 2: Convert to fraction form
    2,274/5,821.13 = 5,821.13/x
  3. Step 3: Cross multiply
    2,274x = 5,821.13 × 5,821.13
  4. Step 4: Simplify right side
    2,274x = 33,885,496.27
  5. Step 5: Solve for x
    x = 33,885,496.27/2,274
  6. Step 6: Final answer
    x = 14,901.27

Related Problems

Find third proportional to 1,137 and 2,910.56
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.