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Finding the Third Proportional to 14,132 and 21,847

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Solution

The third proportional to 14,132 and 21,847 is: 33,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132 : 21,847 = 21,847 : x
  2. Step 2: Convert to fraction form
    14,132/21,847 = 21,847/x
  3. Step 3: Cross multiply
    14,132x = 21,847 × 21,847
  4. Step 4: Simplify right side
    14,132x = 477,291,409
  5. Step 5: Solve for x
    x = 477,291,409/14,132
  6. Step 6: Final answer
    x = 33,773.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.