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Finding the Third Proportional to 31,429.13 and 42,708.94

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Solution

The third proportional to 31,429.13 and 42,708.94 is: 58,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429.13 : 42,708.94 = 42,708.94 : x
  2. Step 2: Convert to fraction form
    31,429.13/42,708.94 = 42,708.94/x
  3. Step 3: Cross multiply
    31,429.13x = 42,708.94 × 42,708.94
  4. Step 4: Simplify right side
    31,429.13x = 1,824,053,342.38
  5. Step 5: Solve for x
    x = 1,824,053,342.38/31,429.13
  6. Step 6: Final answer
    x = 58,037.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.