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Finding the Third Proportional to 41,608 and 62,942

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Solution

The third proportional to 41,608 and 62,942 is: 95,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,608 : 62,942 = 62,942 : x
  2. Step 2: Convert to fraction form
    41,608/62,942 = 62,942/x
  3. Step 3: Cross multiply
    41,608x = 62,942 × 62,942
  4. Step 4: Simplify right side
    41,608x = 3,961,695,364
  5. Step 5: Solve for x
    x = 3,961,695,364/41,608
  6. Step 6: Final answer
    x = 95,214.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.