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Finding the Third Proportional to 16,129.97 and 34,731.70

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Solution

The third proportional to 16,129.97 and 34,731.70 is: 74,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.97 : 34,731.70 = 34,731.70 : x
  2. Step 2: Convert to fraction form
    16,129.97/34,731.70 = 34,731.70/x
  3. Step 3: Cross multiply
    16,129.97x = 34,731.70 × 34,731.70
  4. Step 4: Simplify right side
    16,129.97x = 1,206,291,201.96
  5. Step 5: Solve for x
    x = 1,206,291,201.96/16,129.97
  6. Step 6: Final answer
    x = 74,785.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.