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Finding the Third Proportional to 40,384 and 93,850

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Solution

The third proportional to 40,384 and 93,850 is: 218,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,384 : 93,850 = 93,850 : x
  2. Step 2: Convert to fraction form
    40,384/93,850 = 93,850/x
  3. Step 3: Cross multiply
    40,384x = 93,850 × 93,850
  4. Step 4: Simplify right side
    40,384x = 8,807,822,500
  5. Step 5: Solve for x
    x = 8,807,822,500/40,384
  6. Step 6: Final answer
    x = 218,101.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.