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Finding the Third Proportional to 22,418 and 47,668

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Solution

The third proportional to 22,418 and 47,668 is: 101,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,418 : 47,668 = 47,668 : x
  2. Step 2: Convert to fraction form
    22,418/47,668 = 47,668/x
  3. Step 3: Cross multiply
    22,418x = 47,668 × 47,668
  4. Step 4: Simplify right side
    22,418x = 2,272,238,224
  5. Step 5: Solve for x
    x = 2,272,238,224/22,418
  6. Step 6: Final answer
    x = 101,357.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.