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Finding the Third Proportional to 14,467 and 31,496

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Solution

The third proportional to 14,467 and 31,496 is: 68,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467 : 31,496 = 31,496 : x
  2. Step 2: Convert to fraction form
    14,467/31,496 = 31,496/x
  3. Step 3: Cross multiply
    14,467x = 31,496 × 31,496
  4. Step 4: Simplify right side
    14,467x = 991,998,016
  5. Step 5: Solve for x
    x = 991,998,016/14,467
  6. Step 6: Final answer
    x = 68,569.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.