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Finding the Third Proportional to 22,742 and 48,400

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Solution

The third proportional to 22,742 and 48,400 is: 103,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742 : 48,400 = 48,400 : x
  2. Step 2: Convert to fraction form
    22,742/48,400 = 48,400/x
  3. Step 3: Cross multiply
    22,742x = 48,400 × 48,400
  4. Step 4: Simplify right side
    22,742x = 2,342,560,000
  5. Step 5: Solve for x
    x = 2,342,560,000/22,742
  6. Step 6: Final answer
    x = 103,005.89

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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.