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Finding the Third Proportional to 18,448 and 25,625

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Solution

The third proportional to 18,448 and 25,625 is: 35,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,448 : 25,625 = 25,625 : x
  2. Step 2: Convert to fraction form
    18,448/25,625 = 25,625/x
  3. Step 3: Cross multiply
    18,448x = 25,625 × 25,625
  4. Step 4: Simplify right side
    18,448x = 656,640,625
  5. Step 5: Solve for x
    x = 656,640,625/18,448
  6. Step 6: Final answer
    x = 35,594.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.