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Finding the Third Proportional to 37,972.13 and 55,721.25

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Solution

The third proportional to 37,972.13 and 55,721.25 is: 81,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,972.13 : 55,721.25 = 55,721.25 : x
  2. Step 2: Convert to fraction form
    37,972.13/55,721.25 = 55,721.25/x
  3. Step 3: Cross multiply
    37,972.13x = 55,721.25 × 55,721.25
  4. Step 4: Simplify right side
    37,972.13x = 3,104,857,701.56
  5. Step 5: Solve for x
    x = 3,104,857,701.56/37,972.13
  6. Step 6: Final answer
    x = 81,766.76

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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.