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Finding the Third Proportional to 33,702 and 79,530

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Solution

The third proportional to 33,702 and 79,530 is: 187,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702 : 79,530 = 79,530 : x
  2. Step 2: Convert to fraction form
    33,702/79,530 = 79,530/x
  3. Step 3: Cross multiply
    33,702x = 79,530 × 79,530
  4. Step 4: Simplify right side
    33,702x = 6,325,020,900
  5. Step 5: Solve for x
    x = 6,325,020,900/33,702
  6. Step 6: Final answer
    x = 187,674.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.