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Finding the Third Proportional to 2,443.92 and 3,884.84

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Solution

The third proportional to 2,443.92 and 3,884.84 is: 6,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.92 : 3,884.84 = 3,884.84 : x
  2. Step 2: Convert to fraction form
    2,443.92/3,884.84 = 3,884.84/x
  3. Step 3: Cross multiply
    2,443.92x = 3,884.84 × 3,884.84
  4. Step 4: Simplify right side
    2,443.92x = 15,091,950.26
  5. Step 5: Solve for x
    x = 15,091,950.26/2,443.92
  6. Step 6: Final answer
    x = 6,175.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.