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Finding the Third Proportional to 47,344 and 73,612

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Solution

The third proportional to 47,344 and 73,612 is: 114,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344 : 73,612 = 73,612 : x
  2. Step 2: Convert to fraction form
    47,344/73,612 = 73,612/x
  3. Step 3: Cross multiply
    47,344x = 73,612 × 73,612
  4. Step 4: Simplify right side
    47,344x = 5,418,726,544
  5. Step 5: Solve for x
    x = 5,418,726,544/47,344
  6. Step 6: Final answer
    x = 114,454.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.