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Finding the Third Proportional to 2,942.16 and 6,346.69

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Solution

The third proportional to 2,942.16 and 6,346.69 is: 13,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.16 : 6,346.69 = 6,346.69 : x
  2. Step 2: Convert to fraction form
    2,942.16/6,346.69 = 6,346.69/x
  3. Step 3: Cross multiply
    2,942.16x = 6,346.69 × 6,346.69
  4. Step 4: Simplify right side
    2,942.16x = 40,280,442.22
  5. Step 5: Solve for x
    x = 40,280,442.22/2,942.16
  6. Step 6: Final answer
    x = 13,690.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.