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Finding the Third Proportional to 24,876 and 34,794

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Solution

The third proportional to 24,876 and 34,794 is: 48,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 34,794 = 34,794 : x
  2. Step 2: Convert to fraction form
    24,876/34,794 = 34,794/x
  3. Step 3: Cross multiply
    24,876x = 34,794 × 34,794
  4. Step 4: Simplify right side
    24,876x = 1,210,622,436
  5. Step 5: Solve for x
    x = 1,210,622,436/24,876
  6. Step 6: Final answer
    x = 48,666.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.