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Finding the Third Proportional to 29,251.13 and 38,728.13

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Solution

The third proportional to 29,251.13 and 38,728.13 is: 51,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,251.13 : 38,728.13 = 38,728.13 : x
  2. Step 2: Convert to fraction form
    29,251.13/38,728.13 = 38,728.13/x
  3. Step 3: Cross multiply
    29,251.13x = 38,728.13 × 38,728.13
  4. Step 4: Simplify right side
    29,251.13x = 1,499,867,666.02
  5. Step 5: Solve for x
    x = 1,499,867,666.02/29,251.13
  6. Step 6: Final answer
    x = 51,275.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.