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Finding the Third Proportional to 8,468 and 10,388

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Solution

The third proportional to 8,468 and 10,388 is: 12,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468 : 10,388 = 10,388 : x
  2. Step 2: Convert to fraction form
    8,468/10,388 = 10,388/x
  3. Step 3: Cross multiply
    8,468x = 10,388 × 10,388
  4. Step 4: Simplify right side
    8,468x = 107,910,544
  5. Step 5: Solve for x
    x = 107,910,544/8,468
  6. Step 6: Final answer
    x = 12,743.33

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.