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Finding the Third Proportional to 24,967 and 33,743

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Solution

The third proportional to 24,967 and 33,743 is: 45,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,967 : 33,743 = 33,743 : x
  2. Step 2: Convert to fraction form
    24,967/33,743 = 33,743/x
  3. Step 3: Cross multiply
    24,967x = 33,743 × 33,743
  4. Step 4: Simplify right side
    24,967x = 1,138,590,049
  5. Step 5: Solve for x
    x = 1,138,590,049/24,967
  6. Step 6: Final answer
    x = 45,603.80

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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.