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Finding the Third Proportional to 39,924 and 84,716

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Solution

The third proportional to 39,924 and 84,716 is: 179,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,924 : 84,716 = 84,716 : x
  2. Step 2: Convert to fraction form
    39,924/84,716 = 84,716/x
  3. Step 3: Cross multiply
    39,924x = 84,716 × 84,716
  4. Step 4: Simplify right side
    39,924x = 7,176,800,656
  5. Step 5: Solve for x
    x = 7,176,800,656/39,924
  6. Step 6: Final answer
    x = 179,761.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.