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Finding the Third Proportional to 22,161 and 29,857

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Solution

The third proportional to 22,161 and 29,857 is: 40,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161 : 29,857 = 29,857 : x
  2. Step 2: Convert to fraction form
    22,161/29,857 = 29,857/x
  3. Step 3: Cross multiply
    22,161x = 29,857 × 29,857
  4. Step 4: Simplify right side
    22,161x = 891,440,449
  5. Step 5: Solve for x
    x = 891,440,449/22,161
  6. Step 6: Final answer
    x = 40,225.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.