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Finding the Third Proportional to 9,543 and 22,962

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Solution

The third proportional to 9,543 and 22,962 is: 55,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543 : 22,962 = 22,962 : x
  2. Step 2: Convert to fraction form
    9,543/22,962 = 22,962/x
  3. Step 3: Cross multiply
    9,543x = 22,962 × 22,962
  4. Step 4: Simplify right side
    9,543x = 527,253,444
  5. Step 5: Solve for x
    x = 527,253,444/9,543
  6. Step 6: Final answer
    x = 55,250.28

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.