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Finding the Third Proportional to 38,535.75 and 85,378.50

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Solution

The third proportional to 38,535.75 and 85,378.50 is: 189,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535.75 : 85,378.50 = 85,378.50 : x
  2. Step 2: Convert to fraction form
    38,535.75/85,378.50 = 85,378.50/x
  3. Step 3: Cross multiply
    38,535.75x = 85,378.50 × 85,378.50
  4. Step 4: Simplify right side
    38,535.75x = 7,289,488,262.25
  5. Step 5: Solve for x
    x = 7,289,488,262.25/38,535.75
  6. Step 6: Final answer
    x = 189,161.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.