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Finding the Third Proportional to 31,337 and 67,519

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Solution

The third proportional to 31,337 and 67,519 is: 145,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,337 : 67,519 = 67,519 : x
  2. Step 2: Convert to fraction form
    31,337/67,519 = 67,519/x
  3. Step 3: Cross multiply
    31,337x = 67,519 × 67,519
  4. Step 4: Simplify right side
    31,337x = 4,558,815,361
  5. Step 5: Solve for x
    x = 4,558,815,361/31,337
  6. Step 6: Final answer
    x = 145,477.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.