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Finding the Third Proportional to 37,062.50 and 57,475

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Solution

The third proportional to 37,062.50 and 57,475 is: 89,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,062.50 : 57,475 = 57,475 : x
  2. Step 2: Convert to fraction form
    37,062.50/57,475 = 57,475/x
  3. Step 3: Cross multiply
    37,062.50x = 57,475 × 57,475
  4. Step 4: Simplify right side
    37,062.50x = 3,303,375,625
  5. Step 5: Solve for x
    x = 3,303,375,625/37,062.50
  6. Step 6: Final answer
    x = 89,129.87

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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.