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Finding the Third Proportional to 13,768 and 21,474

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Solution

The third proportional to 13,768 and 21,474 is: 33,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768 : 21,474 = 21,474 : x
  2. Step 2: Convert to fraction form
    13,768/21,474 = 21,474/x
  3. Step 3: Cross multiply
    13,768x = 21,474 × 21,474
  4. Step 4: Simplify right side
    13,768x = 461,132,676
  5. Step 5: Solve for x
    x = 461,132,676/13,768
  6. Step 6: Final answer
    x = 33,493.08

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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.