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Finding the Third Proportional to 33,977 and 79,948

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Solution

The third proportional to 33,977 and 79,948 is: 188,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977 : 79,948 = 79,948 : x
  2. Step 2: Convert to fraction form
    33,977/79,948 = 79,948/x
  3. Step 3: Cross multiply
    33,977x = 79,948 × 79,948
  4. Step 4: Simplify right side
    33,977x = 6,391,682,704
  5. Step 5: Solve for x
    x = 6,391,682,704/33,977
  6. Step 6: Final answer
    x = 188,117.92

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.