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Finding the Third Proportional to 41,821 and 62,725.50

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Solution

The third proportional to 41,821 and 62,725.50 is: 94,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,821 : 62,725.50 = 62,725.50 : x
  2. Step 2: Convert to fraction form
    41,821/62,725.50 = 62,725.50/x
  3. Step 3: Cross multiply
    41,821x = 62,725.50 × 62,725.50
  4. Step 4: Simplify right side
    41,821x = 3,934,488,350.25
  5. Step 5: Solve for x
    x = 3,934,488,350.25/41,821
  6. Step 6: Final answer
    x = 94,079.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.