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Finding the Third Proportional to 37,458 and 57,996

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Solution

The third proportional to 37,458 and 57,996 is: 89,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,458 : 57,996 = 57,996 : x
  2. Step 2: Convert to fraction form
    37,458/57,996 = 57,996/x
  3. Step 3: Cross multiply
    37,458x = 57,996 × 57,996
  4. Step 4: Simplify right side
    37,458x = 3,363,536,016
  5. Step 5: Solve for x
    x = 3,363,536,016/37,458
  6. Step 6: Final answer
    x = 89,794.86

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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.