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Finding the Third Proportional to 22,138 and 47,540

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Solution

The third proportional to 22,138 and 47,540 is: 102,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138 : 47,540 = 47,540 : x
  2. Step 2: Convert to fraction form
    22,138/47,540 = 47,540/x
  3. Step 3: Cross multiply
    22,138x = 47,540 × 47,540
  4. Step 4: Simplify right side
    22,138x = 2,260,051,600
  5. Step 5: Solve for x
    x = 2,260,051,600/22,138
  6. Step 6: Final answer
    x = 102,089.24

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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.