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Finding the Third Proportional to 18,780 and 39,864

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Solution

The third proportional to 18,780 and 39,864 is: 84,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,780 : 39,864 = 39,864 : x
  2. Step 2: Convert to fraction form
    18,780/39,864 = 39,864/x
  3. Step 3: Cross multiply
    18,780x = 39,864 × 39,864
  4. Step 4: Simplify right side
    18,780x = 1,589,138,496
  5. Step 5: Solve for x
    x = 1,589,138,496/18,780
  6. Step 6: Final answer
    x = 84,618.66

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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.