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Finding the Third Proportional to 38,911.50 and 75,879

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Solution

The third proportional to 38,911.50 and 75,879 is: 147,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,911.50 : 75,879 = 75,879 : x
  2. Step 2: Convert to fraction form
    38,911.50/75,879 = 75,879/x
  3. Step 3: Cross multiply
    38,911.50x = 75,879 × 75,879
  4. Step 4: Simplify right side
    38,911.50x = 5,757,622,641
  5. Step 5: Solve for x
    x = 5,757,622,641/38,911.50
  6. Step 6: Final answer
    x = 147,967.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.