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Finding the Third Proportional to 38,380.50 and 51,522.75

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Solution

The third proportional to 38,380.50 and 51,522.75 is: 69,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380.50 : 51,522.75 = 51,522.75 : x
  2. Step 2: Convert to fraction form
    38,380.50/51,522.75 = 51,522.75/x
  3. Step 3: Cross multiply
    38,380.50x = 51,522.75 × 51,522.75
  4. Step 4: Simplify right side
    38,380.50x = 2,654,593,767.56
  5. Step 5: Solve for x
    x = 2,654,593,767.56/38,380.50
  6. Step 6: Final answer
    x = 69,165.17

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.