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Finding the Third Proportional to 41,635.50 and 63,489

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Solution

The third proportional to 41,635.50 and 63,489 is: 96,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,635.50 : 63,489 = 63,489 : x
  2. Step 2: Convert to fraction form
    41,635.50/63,489 = 63,489/x
  3. Step 3: Cross multiply
    41,635.50x = 63,489 × 63,489
  4. Step 4: Simplify right side
    41,635.50x = 4,030,853,121
  5. Step 5: Solve for x
    x = 4,030,853,121/41,635.50
  6. Step 6: Final answer
    x = 96,812.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.