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Finding the Third Proportional to 24,876 and 36,826

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Solution

The third proportional to 24,876 and 36,826 is: 54,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 36,826 = 36,826 : x
  2. Step 2: Convert to fraction form
    24,876/36,826 = 36,826/x
  3. Step 3: Cross multiply
    24,876x = 36,826 × 36,826
  4. Step 4: Simplify right side
    24,876x = 1,356,154,276
  5. Step 5: Solve for x
    x = 1,356,154,276/24,876
  6. Step 6: Final answer
    x = 54,516.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.