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Finding the Third Proportional to 36,864 and 79,971.75

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Solution

The third proportional to 36,864 and 79,971.75 is: 173,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864 : 79,971.75 = 79,971.75 : x
  2. Step 2: Convert to fraction form
    36,864/79,971.75 = 79,971.75/x
  3. Step 3: Cross multiply
    36,864x = 79,971.75 × 79,971.75
  4. Step 4: Simplify right side
    36,864x = 6,395,480,798.06
  5. Step 5: Solve for x
    x = 6,395,480,798.06/36,864
  6. Step 6: Final answer
    x = 173,488.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.