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Finding the Third Proportional to 39,535 and 86,846

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Solution

The third proportional to 39,535 and 86,846 is: 190,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,535 : 86,846 = 86,846 : x
  2. Step 2: Convert to fraction form
    39,535/86,846 = 86,846/x
  3. Step 3: Cross multiply
    39,535x = 86,846 × 86,846
  4. Step 4: Simplify right side
    39,535x = 7,542,227,716
  5. Step 5: Solve for x
    x = 7,542,227,716/39,535
  6. Step 6: Final answer
    x = 190,773.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.