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Finding the Third Proportional to 41,832 and 63,727.75

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Solution

The third proportional to 41,832 and 63,727.75 is: 97,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,832 : 63,727.75 = 63,727.75 : x
  2. Step 2: Convert to fraction form
    41,832/63,727.75 = 63,727.75/x
  3. Step 3: Cross multiply
    41,832x = 63,727.75 × 63,727.75
  4. Step 4: Simplify right side
    41,832x = 4,061,226,120.06
  5. Step 5: Solve for x
    x = 4,061,226,120.06/41,832
  6. Step 6: Final answer
    x = 97,084.20

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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.