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Finding the Third Proportional to 9,540 and 22,102

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Solution

The third proportional to 9,540 and 22,102 is: 51,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540 : 22,102 = 22,102 : x
  2. Step 2: Convert to fraction form
    9,540/22,102 = 22,102/x
  3. Step 3: Cross multiply
    9,540x = 22,102 × 22,102
  4. Step 4: Simplify right side
    9,540x = 488,498,404
  5. Step 5: Solve for x
    x = 488,498,404/9,540
  6. Step 6: Final answer
    x = 51,205.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.