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Finding the Third Proportional to 24,450 and 33,017

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Solution

The third proportional to 24,450 and 33,017 is: 44,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450 : 33,017 = 33,017 : x
  2. Step 2: Convert to fraction form
    24,450/33,017 = 33,017/x
  3. Step 3: Cross multiply
    24,450x = 33,017 × 33,017
  4. Step 4: Simplify right side
    24,450x = 1,090,122,289
  5. Step 5: Solve for x
    x = 1,090,122,289/24,450
  6. Step 6: Final answer
    x = 44,585.78

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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.