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Finding the Third Proportional to 18,320 and 25,832

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Solution

The third proportional to 18,320 and 25,832 is: 36,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,320 : 25,832 = 25,832 : x
  2. Step 2: Convert to fraction form
    18,320/25,832 = 25,832/x
  3. Step 3: Cross multiply
    18,320x = 25,832 × 25,832
  4. Step 4: Simplify right side
    18,320x = 667,292,224
  5. Step 5: Solve for x
    x = 667,292,224/18,320
  6. Step 6: Final answer
    x = 36,424.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.