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Finding the Third Proportional to 12,596 and 24,864

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Solution

The third proportional to 12,596 and 24,864 is: 49,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596 : 24,864 = 24,864 : x
  2. Step 2: Convert to fraction form
    12,596/24,864 = 24,864/x
  3. Step 3: Cross multiply
    12,596x = 24,864 × 24,864
  4. Step 4: Simplify right side
    12,596x = 618,218,496
  5. Step 5: Solve for x
    x = 618,218,496/12,596
  6. Step 6: Final answer
    x = 49,080.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.