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Finding the Third Proportional to 21,614 and 27,614

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Solution

The third proportional to 21,614 and 27,614 is: 35,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614 : 27,614 = 27,614 : x
  2. Step 2: Convert to fraction form
    21,614/27,614 = 27,614/x
  3. Step 3: Cross multiply
    21,614x = 27,614 × 27,614
  4. Step 4: Simplify right side
    21,614x = 762,532,996
  5. Step 5: Solve for x
    x = 762,532,996/21,614
  6. Step 6: Final answer
    x = 35,279.59

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.