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Finding the Third Proportional to 3,822.19 and 7,524.14

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Solution

The third proportional to 3,822.19 and 7,524.14 is: 14,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.19 : 7,524.14 = 7,524.14 : x
  2. Step 2: Convert to fraction form
    3,822.19/7,524.14 = 7,524.14/x
  3. Step 3: Cross multiply
    3,822.19x = 7,524.14 × 7,524.14
  4. Step 4: Simplify right side
    3,822.19x = 56,612,692.14
  5. Step 5: Solve for x
    x = 56,612,692.14/3,822.19
  6. Step 6: Final answer
    x = 14,811.59

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.