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Finding the Third Proportional to 13,940 and 21,757

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Solution

The third proportional to 13,940 and 21,757 is: 33,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940 : 21,757 = 21,757 : x
  2. Step 2: Convert to fraction form
    13,940/21,757 = 21,757/x
  3. Step 3: Cross multiply
    13,940x = 21,757 × 21,757
  4. Step 4: Simplify right side
    13,940x = 473,367,049
  5. Step 5: Solve for x
    x = 473,367,049/13,940
  6. Step 6: Final answer
    x = 33,957.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.