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Finding the Third Proportional to 41,474.25 and 63,834.75

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Solution

The third proportional to 41,474.25 and 63,834.75 is: 98,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,474.25 : 63,834.75 = 63,834.75 : x
  2. Step 2: Convert to fraction form
    41,474.25/63,834.75 = 63,834.75/x
  3. Step 3: Cross multiply
    41,474.25x = 63,834.75 × 63,834.75
  4. Step 4: Simplify right side
    41,474.25x = 4,074,875,307.56
  5. Step 5: Solve for x
    x = 4,074,875,307.56/41,474.25
  6. Step 6: Final answer
    x = 98,250.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.