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Finding the Third Proportional to 26,876 and 36,486

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Solution

The third proportional to 26,876 and 36,486 is: 49,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,876 : 36,486 = 36,486 : x
  2. Step 2: Convert to fraction form
    26,876/36,486 = 36,486/x
  3. Step 3: Cross multiply
    26,876x = 36,486 × 36,486
  4. Step 4: Simplify right side
    26,876x = 1,331,228,196
  5. Step 5: Solve for x
    x = 1,331,228,196/26,876
  6. Step 6: Final answer
    x = 49,532.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.