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Finding the Third Proportional to 37,262 and 57,675

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Solution

The third proportional to 37,262 and 57,675 is: 89,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,262 : 57,675 = 57,675 : x
  2. Step 2: Convert to fraction form
    37,262/57,675 = 57,675/x
  3. Step 3: Cross multiply
    37,262x = 57,675 × 57,675
  4. Step 4: Simplify right side
    37,262x = 3,326,405,625
  5. Step 5: Solve for x
    x = 3,326,405,625/37,262
  6. Step 6: Final answer
    x = 89,270.72

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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.