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Finding the Third Proportional to 2,443.92 and 5,324.34

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Solution

The third proportional to 2,443.92 and 5,324.34 is: 11,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.92 : 5,324.34 = 5,324.34 : x
  2. Step 2: Convert to fraction form
    2,443.92/5,324.34 = 5,324.34/x
  3. Step 3: Cross multiply
    2,443.92x = 5,324.34 × 5,324.34
  4. Step 4: Simplify right side
    2,443.92x = 28,348,636.37
  5. Step 5: Solve for x
    x = 28,348,636.37/2,443.92
  6. Step 6: Final answer
    x = 11,599.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.