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Finding the Third Proportional to 33,658.50 and 70,799

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Solution

The third proportional to 33,658.50 and 70,799 is: 148,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,658.50 : 70,799 = 70,799 : x
  2. Step 2: Convert to fraction form
    33,658.50/70,799 = 70,799/x
  3. Step 3: Cross multiply
    33,658.50x = 70,799 × 70,799
  4. Step 4: Simplify right side
    33,658.50x = 5,012,498,401
  5. Step 5: Solve for x
    x = 5,012,498,401/33,658.50
  6. Step 6: Final answer
    x = 148,922.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.