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Finding the Third Proportional to 2,901.13 and 5,955.88

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Solution

The third proportional to 2,901.13 and 5,955.88 is: 12,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.13 : 5,955.88 = 5,955.88 : x
  2. Step 2: Convert to fraction form
    2,901.13/5,955.88 = 5,955.88/x
  3. Step 3: Cross multiply
    2,901.13x = 5,955.88 × 5,955.88
  4. Step 4: Simplify right side
    2,901.13x = 35,472,447.02
  5. Step 5: Solve for x
    x = 35,472,447.02/2,901.13
  6. Step 6: Final answer
    x = 12,227.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.