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Finding the Third Proportional to 36,788.25 and 79,405.13

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Solution

The third proportional to 36,788.25 and 79,405.13 is: 171,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,788.25 : 79,405.13 = 79,405.13 : x
  2. Step 2: Convert to fraction form
    36,788.25/79,405.13 = 79,405.13/x
  3. Step 3: Cross multiply
    36,788.25x = 79,405.13 × 79,405.13
  4. Step 4: Simplify right side
    36,788.25x = 6,305,173,876.27
  5. Step 5: Solve for x
    x = 6,305,173,876.27/36,788.25
  6. Step 6: Final answer
    x = 171,390.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.