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Finding the Third Proportional to 10,874.25 and 23,081.20

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Solution

The third proportional to 10,874.25 and 23,081.20 is: 48,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.25 : 23,081.20 = 23,081.20 : x
  2. Step 2: Convert to fraction form
    10,874.25/23,081.20 = 23,081.20/x
  3. Step 3: Cross multiply
    10,874.25x = 23,081.20 × 23,081.20
  4. Step 4: Simplify right side
    10,874.25x = 532,741,937.70
  5. Step 5: Solve for x
    x = 532,741,937.70/10,874.25
  6. Step 6: Final answer
    x = 48,991.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.