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Finding the Third Proportional to 37,375 and 79,595

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Solution

The third proportional to 37,375 and 79,595 is: 169,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,375 : 79,595 = 79,595 : x
  2. Step 2: Convert to fraction form
    37,375/79,595 = 79,595/x
  3. Step 3: Cross multiply
    37,375x = 79,595 × 79,595
  4. Step 4: Simplify right side
    37,375x = 6,335,364,025
  5. Step 5: Solve for x
    x = 6,335,364,025/37,375
  6. Step 6: Final answer
    x = 169,508.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.