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Finding the Third Proportional to 14,251 and 21,718

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Solution

The third proportional to 14,251 and 21,718 is: 33,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251 : 21,718 = 21,718 : x
  2. Step 2: Convert to fraction form
    14,251/21,718 = 21,718/x
  3. Step 3: Cross multiply
    14,251x = 21,718 × 21,718
  4. Step 4: Simplify right side
    14,251x = 471,671,524
  5. Step 5: Solve for x
    x = 471,671,524/14,251
  6. Step 6: Final answer
    x = 33,097.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.