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Finding the Third Proportional to 36,424 and 75,375

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Solution

The third proportional to 36,424 and 75,375 is: 155,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,424 : 75,375 = 75,375 : x
  2. Step 2: Convert to fraction form
    36,424/75,375 = 75,375/x
  3. Step 3: Cross multiply
    36,424x = 75,375 × 75,375
  4. Step 4: Simplify right side
    36,424x = 5,681,390,625
  5. Step 5: Solve for x
    x = 5,681,390,625/36,424
  6. Step 6: Final answer
    x = 155,979.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.