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Finding the Third Proportional to 21,400 and 33,614

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Solution

The third proportional to 21,400 and 33,614 is: 52,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400 : 33,614 = 33,614 : x
  2. Step 2: Convert to fraction form
    21,400/33,614 = 33,614/x
  3. Step 3: Cross multiply
    21,400x = 33,614 × 33,614
  4. Step 4: Simplify right side
    21,400x = 1,129,900,996
  5. Step 5: Solve for x
    x = 1,129,900,996/21,400
  6. Step 6: Final answer
    x = 52,799.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.