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Finding the Third Proportional to 8,492 and 18,400

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Solution

The third proportional to 8,492 and 18,400 is: 39,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492 : 18,400 = 18,400 : x
  2. Step 2: Convert to fraction form
    8,492/18,400 = 18,400/x
  3. Step 3: Cross multiply
    8,492x = 18,400 × 18,400
  4. Step 4: Simplify right side
    8,492x = 338,560,000
  5. Step 5: Solve for x
    x = 338,560,000/8,492
  6. Step 6: Final answer
    x = 39,868.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.