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Finding the Third Proportional to 37,371.38 and 57,902.34

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Solution

The third proportional to 37,371.38 and 57,902.34 is: 89,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,371.38 : 57,902.34 = 57,902.34 : x
  2. Step 2: Convert to fraction form
    37,371.38/57,902.34 = 57,902.34/x
  3. Step 3: Cross multiply
    37,371.38x = 57,902.34 × 57,902.34
  4. Step 4: Simplify right side
    37,371.38x = 3,352,681,411.74
  5. Step 5: Solve for x
    x = 3,352,681,411.74/37,371.38
  6. Step 6: Final answer
    x = 89,712.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.