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Finding the Third Proportional to 5,236.31 and 11,842.03

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Solution

The third proportional to 5,236.31 and 11,842.03 is: 26,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.31 : 11,842.03 = 11,842.03 : x
  2. Step 2: Convert to fraction form
    5,236.31/11,842.03 = 11,842.03/x
  3. Step 3: Cross multiply
    5,236.31x = 11,842.03 × 11,842.03
  4. Step 4: Simplify right side
    5,236.31x = 140,233,704.13
  5. Step 5: Solve for x
    x = 140,233,704.13/5,236.31
  6. Step 6: Final answer
    x = 26,781.00

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.