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Finding the Third Proportional to 8,468 and 13,451

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Solution

The third proportional to 8,468 and 13,451 is: 21,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468 : 13,451 = 13,451 : x
  2. Step 2: Convert to fraction form
    8,468/13,451 = 13,451/x
  3. Step 3: Cross multiply
    8,468x = 13,451 × 13,451
  4. Step 4: Simplify right side
    8,468x = 180,929,401
  5. Step 5: Solve for x
    x = 180,929,401/8,468
  6. Step 6: Final answer
    x = 21,366.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.