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Finding the Third Proportional to 2,462.44 and 5,403.28

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Solution

The third proportional to 2,462.44 and 5,403.28 is: 11,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.44 : 5,403.28 = 5,403.28 : x
  2. Step 2: Convert to fraction form
    2,462.44/5,403.28 = 5,403.28/x
  3. Step 3: Cross multiply
    2,462.44x = 5,403.28 × 5,403.28
  4. Step 4: Simplify right side
    2,462.44x = 29,195,448.27
  5. Step 5: Solve for x
    x = 29,195,448.27/2,462.44
  6. Step 6: Final answer
    x = 11,856.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.