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Finding the Third Proportional to 9,463 and 14,327

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Solution

The third proportional to 9,463 and 14,327 is: 21,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463 : 14,327 = 14,327 : x
  2. Step 2: Convert to fraction form
    9,463/14,327 = 14,327/x
  3. Step 3: Cross multiply
    9,463x = 14,327 × 14,327
  4. Step 4: Simplify right side
    9,463x = 205,262,929
  5. Step 5: Solve for x
    x = 205,262,929/9,463
  6. Step 6: Final answer
    x = 21,691.11

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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.