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Finding the Third Proportional to 24,876 and 35,166.38

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Solution

The third proportional to 24,876 and 35,166.38 is: 49,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 35,166.38 = 35,166.38 : x
  2. Step 2: Convert to fraction form
    24,876/35,166.38 = 35,166.38/x
  3. Step 3: Cross multiply
    24,876x = 35,166.38 × 35,166.38
  4. Step 4: Simplify right side
    24,876x = 1,236,673,930.64
  5. Step 5: Solve for x
    x = 1,236,673,930.64/24,876
  6. Step 6: Final answer
    x = 49,713.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.