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Finding the Third Proportional to 33,921 and 78,777

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Solution

The third proportional to 33,921 and 78,777 is: 182,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,921 : 78,777 = 78,777 : x
  2. Step 2: Convert to fraction form
    33,921/78,777 = 78,777/x
  3. Step 3: Cross multiply
    33,921x = 78,777 × 78,777
  4. Step 4: Simplify right side
    33,921x = 6,205,815,729
  5. Step 5: Solve for x
    x = 6,205,815,729/33,921
  6. Step 6: Final answer
    x = 182,949.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.