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Finding the Third Proportional to 5,398.31 and 11,232.56

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Solution

The third proportional to 5,398.31 and 11,232.56 is: 23,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.31 : 11,232.56 = 11,232.56 : x
  2. Step 2: Convert to fraction form
    5,398.31/11,232.56 = 11,232.56/x
  3. Step 3: Cross multiply
    5,398.31x = 11,232.56 × 11,232.56
  4. Step 4: Simplify right side
    5,398.31x = 126,170,460.32
  5. Step 5: Solve for x
    x = 126,170,460.32/5,398.31
  6. Step 6: Final answer
    x = 23,372.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.