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Finding the Third Proportional to 3,922.17 and 5,744.67

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Solution

The third proportional to 3,922.17 and 5,744.67 is: 8,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.17 : 5,744.67 = 5,744.67 : x
  2. Step 2: Convert to fraction form
    3,922.17/5,744.67 = 5,744.67/x
  3. Step 3: Cross multiply
    3,922.17x = 5,744.67 × 5,744.67
  4. Step 4: Simplify right side
    3,922.17x = 33,001,254.95
  5. Step 5: Solve for x
    x = 33,001,254.95/3,922.17
  6. Step 6: Final answer
    x = 8,414.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.