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Finding the Third Proportional to 14,182 and 20,864

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Solution

The third proportional to 14,182 and 20,864 is: 30,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182 : 20,864 = 20,864 : x
  2. Step 2: Convert to fraction form
    14,182/20,864 = 20,864/x
  3. Step 3: Cross multiply
    14,182x = 20,864 × 20,864
  4. Step 4: Simplify right side
    14,182x = 435,306,496
  5. Step 5: Solve for x
    x = 435,306,496/14,182
  6. Step 6: Final answer
    x = 30,694.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.