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Finding the Third Proportional to 31,562.16 and 73,073.39

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Solution

The third proportional to 31,562.16 and 73,073.39 is: 169,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562.16 : 73,073.39 = 73,073.39 : x
  2. Step 2: Convert to fraction form
    31,562.16/73,073.39 = 73,073.39/x
  3. Step 3: Cross multiply
    31,562.16x = 73,073.39 × 73,073.39
  4. Step 4: Simplify right side
    31,562.16x = 5,339,720,417.43
  5. Step 5: Solve for x
    x = 5,339,720,417.43/31,562.16
  6. Step 6: Final answer
    x = 169,181.10

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.