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Finding the Third Proportional to 41,461 and 62,538

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Solution

The third proportional to 41,461 and 62,538 is: 94,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,461 : 62,538 = 62,538 : x
  2. Step 2: Convert to fraction form
    41,461/62,538 = 62,538/x
  3. Step 3: Cross multiply
    41,461x = 62,538 × 62,538
  4. Step 4: Simplify right side
    41,461x = 3,911,001,444
  5. Step 5: Solve for x
    x = 3,911,001,444/41,461
  6. Step 6: Final answer
    x = 94,329.65

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Why These Related Problems?

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