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Finding the Third Proportional to 12,899 and 20,596

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Solution

The third proportional to 12,899 and 20,596 is: 32,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899 : 20,596 = 20,596 : x
  2. Step 2: Convert to fraction form
    12,899/20,596 = 20,596/x
  3. Step 3: Cross multiply
    12,899x = 20,596 × 20,596
  4. Step 4: Simplify right side
    12,899x = 424,195,216
  5. Step 5: Solve for x
    x = 424,195,216/12,899
  6. Step 6: Final answer
    x = 32,885.90

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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.