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Finding the Third Proportional to 31,612 and 47,337

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Solution

The third proportional to 31,612 and 47,337 is: 70,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612 : 47,337 = 47,337 : x
  2. Step 2: Convert to fraction form
    31,612/47,337 = 47,337/x
  3. Step 3: Cross multiply
    31,612x = 47,337 × 47,337
  4. Step 4: Simplify right side
    31,612x = 2,240,791,569
  5. Step 5: Solve for x
    x = 2,240,791,569/31,612
  6. Step 6: Final answer
    x = 70,884.21

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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.