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Finding the Third Proportional to 31,609.50 and 67,317

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Solution

The third proportional to 31,609.50 and 67,317 is: 143,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.50 : 67,317 = 67,317 : x
  2. Step 2: Convert to fraction form
    31,609.50/67,317 = 67,317/x
  3. Step 3: Cross multiply
    31,609.50x = 67,317 × 67,317
  4. Step 4: Simplify right side
    31,609.50x = 4,531,578,489
  5. Step 5: Solve for x
    x = 4,531,578,489/31,609.50
  6. Step 6: Final answer
    x = 143,361.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.