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Finding the Third Proportional to 2,342.91 and 4,949.23

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Solution

The third proportional to 2,342.91 and 4,949.23 is: 10,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.91 : 4,949.23 = 4,949.23 : x
  2. Step 2: Convert to fraction form
    2,342.91/4,949.23 = 4,949.23/x
  3. Step 3: Cross multiply
    2,342.91x = 4,949.23 × 4,949.23
  4. Step 4: Simplify right side
    2,342.91x = 24,494,843.57
  5. Step 5: Solve for x
    x = 24,494,843.57/2,342.91
  6. Step 6: Final answer
    x = 10,454.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.