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Finding the Third Proportional to 22,656 and 52,675

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Solution

The third proportional to 22,656 and 52,675 is: 122,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656 : 52,675 = 52,675 : x
  2. Step 2: Convert to fraction form
    22,656/52,675 = 52,675/x
  3. Step 3: Cross multiply
    22,656x = 52,675 × 52,675
  4. Step 4: Simplify right side
    22,656x = 2,774,655,625
  5. Step 5: Solve for x
    x = 2,774,655,625/22,656
  6. Step 6: Final answer
    x = 122,468.91

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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.