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Finding the Third Proportional to 2,403.42 and 5,251.08

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Solution

The third proportional to 2,403.42 and 5,251.08 is: 11,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.42 : 5,251.08 = 5,251.08 : x
  2. Step 2: Convert to fraction form
    2,403.42/5,251.08 = 5,251.08/x
  3. Step 3: Cross multiply
    2,403.42x = 5,251.08 × 5,251.08
  4. Step 4: Simplify right side
    2,403.42x = 27,573,821.47
  5. Step 5: Solve for x
    x = 27,573,821.47/2,403.42
  6. Step 6: Final answer
    x = 11,472.73

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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.