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Finding the Third Proportional to 39,543.25 and 82,367.25

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Solution

The third proportional to 39,543.25 and 82,367.25 is: 171,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,543.25 : 82,367.25 = 82,367.25 : x
  2. Step 2: Convert to fraction form
    39,543.25/82,367.25 = 82,367.25/x
  3. Step 3: Cross multiply
    39,543.25x = 82,367.25 × 82,367.25
  4. Step 4: Simplify right side
    39,543.25x = 6,784,363,872.56
  5. Step 5: Solve for x
    x = 6,784,363,872.56/39,543.25
  6. Step 6: Final answer
    x = 171,568.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.