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Finding the Third Proportional to 24,243 and 33,175

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Solution

The third proportional to 24,243 and 33,175 is: 45,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243 : 33,175 = 33,175 : x
  2. Step 2: Convert to fraction form
    24,243/33,175 = 33,175/x
  3. Step 3: Cross multiply
    24,243x = 33,175 × 33,175
  4. Step 4: Simplify right side
    24,243x = 1,100,580,625
  5. Step 5: Solve for x
    x = 1,100,580,625/24,243
  6. Step 6: Final answer
    x = 45,397.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.