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Finding the Third Proportional to 45,380.50 and 63,474

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Solution

The third proportional to 45,380.50 and 63,474 is: 88,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,380.50 : 63,474 = 63,474 : x
  2. Step 2: Convert to fraction form
    45,380.50/63,474 = 63,474/x
  3. Step 3: Cross multiply
    45,380.50x = 63,474 × 63,474
  4. Step 4: Simplify right side
    45,380.50x = 4,028,948,676
  5. Step 5: Solve for x
    x = 4,028,948,676/45,380.50
  6. Step 6: Final answer
    x = 88,781.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.