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Finding the Third Proportional to 39,524 and 85,832

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Solution

The third proportional to 39,524 and 85,832 is: 186,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,524 : 85,832 = 85,832 : x
  2. Step 2: Convert to fraction form
    39,524/85,832 = 85,832/x
  3. Step 3: Cross multiply
    39,524x = 85,832 × 85,832
  4. Step 4: Simplify right side
    39,524x = 7,367,132,224
  5. Step 5: Solve for x
    x = 7,367,132,224/39,524
  6. Step 6: Final answer
    x = 186,396.42

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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.