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Finding the Third Proportional to 13,944 and 22,446

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Solution

The third proportional to 13,944 and 22,446 is: 36,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944 : 22,446 = 22,446 : x
  2. Step 2: Convert to fraction form
    13,944/22,446 = 22,446/x
  3. Step 3: Cross multiply
    13,944x = 22,446 × 22,446
  4. Step 4: Simplify right side
    13,944x = 503,822,916
  5. Step 5: Solve for x
    x = 503,822,916/13,944
  6. Step 6: Final answer
    x = 36,131.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.