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Finding the Third Proportional to 26,947 and 36,251

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Solution

The third proportional to 26,947 and 36,251 is: 48,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,947 : 36,251 = 36,251 : x
  2. Step 2: Convert to fraction form
    26,947/36,251 = 36,251/x
  3. Step 3: Cross multiply
    26,947x = 36,251 × 36,251
  4. Step 4: Simplify right side
    26,947x = 1,314,135,001
  5. Step 5: Solve for x
    x = 1,314,135,001/26,947
  6. Step 6: Final answer
    x = 48,767.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.