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Finding the Third Proportional to 36,842.34 and 75,230.44

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Solution

The third proportional to 36,842.34 and 75,230.44 is: 153,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842.34 : 75,230.44 = 75,230.44 : x
  2. Step 2: Convert to fraction form
    36,842.34/75,230.44 = 75,230.44/x
  3. Step 3: Cross multiply
    36,842.34x = 75,230.44 × 75,230.44
  4. Step 4: Simplify right side
    36,842.34x = 5,659,618,726.44
  5. Step 5: Solve for x
    x = 5,659,618,726.44/36,842.34
  6. Step 6: Final answer
    x = 153,617.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.