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Finding the Third Proportional to 37,691.50 and 55,413

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Solution

The third proportional to 37,691.50 and 55,413 is: 81,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,691.50 : 55,413 = 55,413 : x
  2. Step 2: Convert to fraction form
    37,691.50/55,413 = 55,413/x
  3. Step 3: Cross multiply
    37,691.50x = 55,413 × 55,413
  4. Step 4: Simplify right side
    37,691.50x = 3,070,600,569
  5. Step 5: Solve for x
    x = 3,070,600,569/37,691.50
  6. Step 6: Final answer
    x = 81,466.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.