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Finding the Third Proportional to 10,774.13 and 17,133.19

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Solution

The third proportional to 10,774.13 and 17,133.19 is: 27,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.13 : 17,133.19 = 17,133.19 : x
  2. Step 2: Convert to fraction form
    10,774.13/17,133.19 = 17,133.19/x
  3. Step 3: Cross multiply
    10,774.13x = 17,133.19 × 17,133.19
  4. Step 4: Simplify right side
    10,774.13x = 293,546,113.91
  5. Step 5: Solve for x
    x = 293,546,113.91/10,774.13
  6. Step 6: Final answer
    x = 27,245.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.