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Finding the Third Proportional to 8,228 and 12,727

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Solution

The third proportional to 8,228 and 12,727 is: 19,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228 : 12,727 = 12,727 : x
  2. Step 2: Convert to fraction form
    8,228/12,727 = 12,727/x
  3. Step 3: Cross multiply
    8,228x = 12,727 × 12,727
  4. Step 4: Simplify right side
    8,228x = 161,976,529
  5. Step 5: Solve for x
    x = 161,976,529/8,228
  6. Step 6: Final answer
    x = 19,686.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.