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Finding the Third Proportional to 18,175 and 24,425

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Solution

The third proportional to 18,175 and 24,425 is: 32,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,175 : 24,425 = 24,425 : x
  2. Step 2: Convert to fraction form
    18,175/24,425 = 24,425/x
  3. Step 3: Cross multiply
    18,175x = 24,425 × 24,425
  4. Step 4: Simplify right side
    18,175x = 596,580,625
  5. Step 5: Solve for x
    x = 596,580,625/18,175
  6. Step 6: Final answer
    x = 32,824.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.