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Finding the Third Proportional to 18,486 and 25,884

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Solution

The third proportional to 18,486 and 25,884 is: 36,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486 : 25,884 = 25,884 : x
  2. Step 2: Convert to fraction form
    18,486/25,884 = 25,884/x
  3. Step 3: Cross multiply
    18,486x = 25,884 × 25,884
  4. Step 4: Simplify right side
    18,486x = 669,981,456
  5. Step 5: Solve for x
    x = 669,981,456/18,486
  6. Step 6: Final answer
    x = 36,242.64

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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.