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Finding the Third Proportional to 17,737.31 and 27,466.59

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Solution

The third proportional to 17,737.31 and 27,466.59 is: 42,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.31 : 27,466.59 = 27,466.59 : x
  2. Step 2: Convert to fraction form
    17,737.31/27,466.59 = 27,466.59/x
  3. Step 3: Cross multiply
    17,737.31x = 27,466.59 × 27,466.59
  4. Step 4: Simplify right side
    17,737.31x = 754,413,772.23
  5. Step 5: Solve for x
    x = 754,413,772.23/17,737.31
  6. Step 6: Final answer
    x = 42,532.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.