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Finding the Third Proportional to 14,414 and 21,725

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Solution

The third proportional to 14,414 and 21,725 is: 32,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414 : 21,725 = 21,725 : x
  2. Step 2: Convert to fraction form
    14,414/21,725 = 21,725/x
  3. Step 3: Cross multiply
    14,414x = 21,725 × 21,725
  4. Step 4: Simplify right side
    14,414x = 471,975,625
  5. Step 5: Solve for x
    x = 471,975,625/14,414
  6. Step 6: Final answer
    x = 32,744.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.