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Finding the Third Proportional to 41,656 and 62,538

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Solution

The third proportional to 41,656 and 62,538 is: 93,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,656 : 62,538 = 62,538 : x
  2. Step 2: Convert to fraction form
    41,656/62,538 = 62,538/x
  3. Step 3: Cross multiply
    41,656x = 62,538 × 62,538
  4. Step 4: Simplify right side
    41,656x = 3,911,001,444
  5. Step 5: Solve for x
    x = 3,911,001,444/41,656
  6. Step 6: Final answer
    x = 93,888.07

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Why These Related Problems?

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