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Finding the Third Proportional to 8,668 and 10,540

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Solution

The third proportional to 8,668 and 10,540 is: 12,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668 : 10,540 = 10,540 : x
  2. Step 2: Convert to fraction form
    8,668/10,540 = 10,540/x
  3. Step 3: Cross multiply
    8,668x = 10,540 × 10,540
  4. Step 4: Simplify right side
    8,668x = 111,091,600
  5. Step 5: Solve for x
    x = 111,091,600/8,668
  6. Step 6: Final answer
    x = 12,816.29

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.