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Finding the Third Proportional to 3,921.22 and 6,074.05

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Solution

The third proportional to 3,921.22 and 6,074.05 is: 9,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.22 : 6,074.05 = 6,074.05 : x
  2. Step 2: Convert to fraction form
    3,921.22/6,074.05 = 6,074.05/x
  3. Step 3: Cross multiply
    3,921.22x = 6,074.05 × 6,074.05
  4. Step 4: Simplify right side
    3,921.22x = 36,894,092.89
  5. Step 5: Solve for x
    x = 36,894,092.89/3,921.22
  6. Step 6: Final answer
    x = 9,408.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.