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Finding the Third Proportional to 37,414.13 and 57,970.97

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Solution

The third proportional to 37,414.13 and 57,970.97 is: 89,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414.13 : 57,970.97 = 57,970.97 : x
  2. Step 2: Convert to fraction form
    37,414.13/57,970.97 = 57,970.97/x
  3. Step 3: Cross multiply
    37,414.13x = 57,970.97 × 57,970.97
  4. Step 4: Simplify right side
    37,414.13x = 3,360,633,217.81
  5. Step 5: Solve for x
    x = 3,360,633,217.81/37,414.13
  6. Step 6: Final answer
    x = 89,822.58

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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.