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Finding the Third Proportional to 3,442.82 and 4,856.68

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Solution

The third proportional to 3,442.82 and 4,856.68 is: 6,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.82 : 4,856.68 = 4,856.68 : x
  2. Step 2: Convert to fraction form
    3,442.82/4,856.68 = 4,856.68/x
  3. Step 3: Cross multiply
    3,442.82x = 4,856.68 × 4,856.68
  4. Step 4: Simplify right side
    3,442.82x = 23,587,318.62
  5. Step 5: Solve for x
    x = 23,587,318.62/3,442.82
  6. Step 6: Final answer
    x = 6,851.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.