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Finding the Third Proportional to 2,443.49 and 5,335.08

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Solution

The third proportional to 2,443.49 and 5,335.08 is: 11,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.49 : 5,335.08 = 5,335.08 : x
  2. Step 2: Convert to fraction form
    2,443.49/5,335.08 = 5,335.08/x
  3. Step 3: Cross multiply
    2,443.49x = 5,335.08 × 5,335.08
  4. Step 4: Simplify right side
    2,443.49x = 28,463,121.12
  5. Step 5: Solve for x
    x = 28,463,121.12/2,443.49
  6. Step 6: Final answer
    x = 11,648.56

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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.