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Finding the Third Proportional to 24,934 and 33,588

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Solution

The third proportional to 24,934 and 33,588 is: 45,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,934 : 33,588 = 33,588 : x
  2. Step 2: Convert to fraction form
    24,934/33,588 = 33,588/x
  3. Step 3: Cross multiply
    24,934x = 33,588 × 33,588
  4. Step 4: Simplify right side
    24,934x = 1,128,153,744
  5. Step 5: Solve for x
    x = 1,128,153,744/24,934
  6. Step 6: Final answer
    x = 45,245.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.