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Finding the Third Proportional to 8,184 and 11,452

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Solution

The third proportional to 8,184 and 11,452 is: 16,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 11,452 = 11,452 : x
  2. Step 2: Convert to fraction form
    8,184/11,452 = 11,452/x
  3. Step 3: Cross multiply
    8,184x = 11,452 × 11,452
  4. Step 4: Simplify right side
    8,184x = 131,148,304
  5. Step 5: Solve for x
    x = 131,148,304/8,184
  6. Step 6: Final answer
    x = 16,024.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.