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Finding the Third Proportional to 26,266.78 and 36,138.66

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Solution

The third proportional to 26,266.78 and 36,138.66 is: 49,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,266.78 : 36,138.66 = 36,138.66 : x
  2. Step 2: Convert to fraction form
    26,266.78/36,138.66 = 36,138.66/x
  3. Step 3: Cross multiply
    26,266.78x = 36,138.66 × 36,138.66
  4. Step 4: Simplify right side
    26,266.78x = 1,306,002,475.56
  5. Step 5: Solve for x
    x = 1,306,002,475.56/26,266.78
  6. Step 6: Final answer
    x = 49,720.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.