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Finding the Third Proportional to 37,711.50 and 55,915

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Solution

The third proportional to 37,711.50 and 55,915 is: 82,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,711.50 : 55,915 = 55,915 : x
  2. Step 2: Convert to fraction form
    37,711.50/55,915 = 55,915/x
  3. Step 3: Cross multiply
    37,711.50x = 55,915 × 55,915
  4. Step 4: Simplify right side
    37,711.50x = 3,126,487,225
  5. Step 5: Solve for x
    x = 3,126,487,225/37,711.50
  6. Step 6: Final answer
    x = 82,905.41

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.