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Finding the Third Proportional to 37,732.50 and 51,061.50

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Solution

The third proportional to 37,732.50 and 51,061.50 is: 69,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732.50 : 51,061.50 = 51,061.50 : x
  2. Step 2: Convert to fraction form
    37,732.50/51,061.50 = 51,061.50/x
  3. Step 3: Cross multiply
    37,732.50x = 51,061.50 × 51,061.50
  4. Step 4: Simplify right side
    37,732.50x = 2,607,276,782.25
  5. Step 5: Solve for x
    x = 2,607,276,782.25/37,732.50
  6. Step 6: Final answer
    x = 69,098.97

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.