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Finding the Third Proportional to 40,519 and 61,337

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Solution

The third proportional to 40,519 and 61,337 is: 92,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,519 : 61,337 = 61,337 : x
  2. Step 2: Convert to fraction form
    40,519/61,337 = 61,337/x
  3. Step 3: Cross multiply
    40,519x = 61,337 × 61,337
  4. Step 4: Simplify right side
    40,519x = 3,762,227,569
  5. Step 5: Solve for x
    x = 3,762,227,569/40,519
  6. Step 6: Final answer
    x = 92,850.95

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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.