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Finding the Third Proportional to 41,677 and 62,519

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Solution

The third proportional to 41,677 and 62,519 is: 93,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,677 : 62,519 = 62,519 : x
  2. Step 2: Convert to fraction form
    41,677/62,519 = 62,519/x
  3. Step 3: Cross multiply
    41,677x = 62,519 × 62,519
  4. Step 4: Simplify right side
    41,677x = 3,908,625,361
  5. Step 5: Solve for x
    x = 3,908,625,361/41,677
  6. Step 6: Final answer
    x = 93,783.75

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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.