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Finding the Third Proportional to 2,438.44 and 3,484.69

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Solution

The third proportional to 2,438.44 and 3,484.69 is: 4,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.44 : 3,484.69 = 3,484.69 : x
  2. Step 2: Convert to fraction form
    2,438.44/3,484.69 = 3,484.69/x
  3. Step 3: Cross multiply
    2,438.44x = 3,484.69 × 3,484.69
  4. Step 4: Simplify right side
    2,438.44x = 12,143,046.97
  5. Step 5: Solve for x
    x = 12,143,046.97/2,438.44
  6. Step 6: Final answer
    x = 4,979.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.