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Finding the Third Proportional to 29,144.81 and 42,760.13

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Solution

The third proportional to 29,144.81 and 42,760.13 is: 62,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,144.81 : 42,760.13 = 42,760.13 : x
  2. Step 2: Convert to fraction form
    29,144.81/42,760.13 = 42,760.13/x
  3. Step 3: Cross multiply
    29,144.81x = 42,760.13 × 42,760.13
  4. Step 4: Simplify right side
    29,144.81x = 1,828,428,290.02
  5. Step 5: Solve for x
    x = 1,828,428,290.02/29,144.81
  6. Step 6: Final answer
    x = 62,735.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.