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Finding the Third Proportional to 12,704 and 22,624

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Solution

The third proportional to 12,704 and 22,624 is: 40,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 22,624 = 22,624 : x
  2. Step 2: Convert to fraction form
    12,704/22,624 = 22,624/x
  3. Step 3: Cross multiply
    12,704x = 22,624 × 22,624
  4. Step 4: Simplify right side
    12,704x = 511,845,376
  5. Step 5: Solve for x
    x = 511,845,376/12,704
  6. Step 6: Final answer
    x = 40,290.10

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.