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Finding the Third Proportional to 37,864 and 79,830

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Solution

The third proportional to 37,864 and 79,830 is: 168,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,864 : 79,830 = 79,830 : x
  2. Step 2: Convert to fraction form
    37,864/79,830 = 79,830/x
  3. Step 3: Cross multiply
    37,864x = 79,830 × 79,830
  4. Step 4: Simplify right side
    37,864x = 6,372,828,900
  5. Step 5: Solve for x
    x = 6,372,828,900/37,864
  6. Step 6: Final answer
    x = 168,308.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.