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Finding the Third Proportional to 26,934 and 36,006.75

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Solution

The third proportional to 26,934 and 36,006.75 is: 48,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,934 : 36,006.75 = 36,006.75 : x
  2. Step 2: Convert to fraction form
    26,934/36,006.75 = 36,006.75/x
  3. Step 3: Cross multiply
    26,934x = 36,006.75 × 36,006.75
  4. Step 4: Simplify right side
    26,934x = 1,296,486,045.56
  5. Step 5: Solve for x
    x = 1,296,486,045.56/26,934
  6. Step 6: Final answer
    x = 48,135.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.