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Finding the Third Proportional to 39,845 and 93,924

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Solution

The third proportional to 39,845 and 93,924 is: 221,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,845 : 93,924 = 93,924 : x
  2. Step 2: Convert to fraction form
    39,845/93,924 = 93,924/x
  3. Step 3: Cross multiply
    39,845x = 93,924 × 93,924
  4. Step 4: Simplify right side
    39,845x = 8,821,717,776
  5. Step 5: Solve for x
    x = 8,821,717,776/39,845
  6. Step 6: Final answer
    x = 221,400.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.