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Finding the Third Proportional to 12,727.13 and 16,432.88

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Solution

The third proportional to 12,727.13 and 16,432.88 is: 21,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.13 : 16,432.88 = 16,432.88 : x
  2. Step 2: Convert to fraction form
    12,727.13/16,432.88 = 16,432.88/x
  3. Step 3: Cross multiply
    12,727.13x = 16,432.88 × 16,432.88
  4. Step 4: Simplify right side
    12,727.13x = 270,039,380.77
  5. Step 5: Solve for x
    x = 270,039,380.77/12,727.13
  6. Step 6: Final answer
    x = 21,217.63

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.