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Finding the Third Proportional to 39,217.50 and 85,941

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Solution

The third proportional to 39,217.50 and 85,941 is: 188,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,217.50 : 85,941 = 85,941 : x
  2. Step 2: Convert to fraction form
    39,217.50/85,941 = 85,941/x
  3. Step 3: Cross multiply
    39,217.50x = 85,941 × 85,941
  4. Step 4: Simplify right side
    39,217.50x = 7,385,855,481
  5. Step 5: Solve for x
    x = 7,385,855,481/39,217.50
  6. Step 6: Final answer
    x = 188,330.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.