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Finding the Third Proportional to 3,010.22 and 3,994.17

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Solution

The third proportional to 3,010.22 and 3,994.17 is: 5,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.22 : 3,994.17 = 3,994.17 : x
  2. Step 2: Convert to fraction form
    3,010.22/3,994.17 = 3,994.17/x
  3. Step 3: Cross multiply
    3,010.22x = 3,994.17 × 3,994.17
  4. Step 4: Simplify right side
    3,010.22x = 15,953,408.97
  5. Step 5: Solve for x
    x = 15,953,408.97/3,010.22
  6. Step 6: Final answer
    x = 5,299.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.