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Finding the Third Proportional to 36,948.25 and 79,440.25

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Solution

The third proportional to 36,948.25 and 79,440.25 is: 170,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948.25 : 79,440.25 = 79,440.25 : x
  2. Step 2: Convert to fraction form
    36,948.25/79,440.25 = 79,440.25/x
  3. Step 3: Cross multiply
    36,948.25x = 79,440.25 × 79,440.25
  4. Step 4: Simplify right side
    36,948.25x = 6,310,753,320.06
  5. Step 5: Solve for x
    x = 6,310,753,320.06/36,948.25
  6. Step 6: Final answer
    x = 170,799.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.