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Finding the Third Proportional to 37,951.50 and 54,663

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Solution

The third proportional to 37,951.50 and 54,663 is: 78,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,951.50 : 54,663 = 54,663 : x
  2. Step 2: Convert to fraction form
    37,951.50/54,663 = 54,663/x
  3. Step 3: Cross multiply
    37,951.50x = 54,663 × 54,663
  4. Step 4: Simplify right side
    37,951.50x = 2,988,043,569
  5. Step 5: Solve for x
    x = 2,988,043,569/37,951.50
  6. Step 6: Final answer
    x = 78,733.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.