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Finding the Third Proportional to 35,668 and 75,314

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Solution

The third proportional to 35,668 and 75,314 is: 159,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,668 : 75,314 = 75,314 : x
  2. Step 2: Convert to fraction form
    35,668/75,314 = 75,314/x
  3. Step 3: Cross multiply
    35,668x = 75,314 × 75,314
  4. Step 4: Simplify right side
    35,668x = 5,672,198,596
  5. Step 5: Solve for x
    x = 5,672,198,596/35,668
  6. Step 6: Final answer
    x = 159,027.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.