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Finding the Third Proportional to 8,596 and 13,802

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Solution

The third proportional to 8,596 and 13,802 is: 22,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 13,802 = 13,802 : x
  2. Step 2: Convert to fraction form
    8,596/13,802 = 13,802/x
  3. Step 3: Cross multiply
    8,596x = 13,802 × 13,802
  4. Step 4: Simplify right side
    8,596x = 190,495,204
  5. Step 5: Solve for x
    x = 190,495,204/8,596
  6. Step 6: Final answer
    x = 22,160.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.