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Finding the Third Proportional to 39,481 and 85,652

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Solution

The third proportional to 39,481 and 85,652 is: 185,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,481 : 85,652 = 85,652 : x
  2. Step 2: Convert to fraction form
    39,481/85,652 = 85,652/x
  3. Step 3: Cross multiply
    39,481x = 85,652 × 85,652
  4. Step 4: Simplify right side
    39,481x = 7,336,265,104
  5. Step 5: Solve for x
    x = 7,336,265,104/39,481
  6. Step 6: Final answer
    x = 185,817.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.