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Finding the Third Proportional to 26,251 and 35,367

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Solution

The third proportional to 26,251 and 35,367 is: 47,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,251 : 35,367 = 35,367 : x
  2. Step 2: Convert to fraction form
    26,251/35,367 = 35,367/x
  3. Step 3: Cross multiply
    26,251x = 35,367 × 35,367
  4. Step 4: Simplify right side
    26,251x = 1,250,824,689
  5. Step 5: Solve for x
    x = 1,250,824,689/26,251
  6. Step 6: Final answer
    x = 47,648.65

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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.