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Finding the Third Proportional to 9,800 and 23,122

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Solution

The third proportional to 9,800 and 23,122 is: 54,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800 : 23,122 = 23,122 : x
  2. Step 2: Convert to fraction form
    9,800/23,122 = 23,122/x
  3. Step 3: Cross multiply
    9,800x = 23,122 × 23,122
  4. Step 4: Simplify right side
    9,800x = 534,626,884
  5. Step 5: Solve for x
    x = 534,626,884/9,800
  6. Step 6: Final answer
    x = 54,553.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.