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Finding the Third Proportional to 2,238.19 and 4,924.69

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Solution

The third proportional to 2,238.19 and 4,924.69 is: 10,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.19 : 4,924.69 = 4,924.69 : x
  2. Step 2: Convert to fraction form
    2,238.19/4,924.69 = 4,924.69/x
  3. Step 3: Cross multiply
    2,238.19x = 4,924.69 × 4,924.69
  4. Step 4: Simplify right side
    2,238.19x = 24,252,546.97
  5. Step 5: Solve for x
    x = 24,252,546.97/2,238.19
  6. Step 6: Final answer
    x = 10,835.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.