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Finding the Third Proportional to 14,277 and 22,812

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Solution

The third proportional to 14,277 and 22,812 is: 36,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277 : 22,812 = 22,812 : x
  2. Step 2: Convert to fraction form
    14,277/22,812 = 22,812/x
  3. Step 3: Cross multiply
    14,277x = 22,812 × 22,812
  4. Step 4: Simplify right side
    14,277x = 520,387,344
  5. Step 5: Solve for x
    x = 520,387,344/14,277
  6. Step 6: Final answer
    x = 36,449.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.