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Finding the Third Proportional to 12,301.31 and 26,682.75

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Solution

The third proportional to 12,301.31 and 26,682.75 is: 57,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.31 : 26,682.75 = 26,682.75 : x
  2. Step 2: Convert to fraction form
    12,301.31/26,682.75 = 26,682.75/x
  3. Step 3: Cross multiply
    12,301.31x = 26,682.75 × 26,682.75
  4. Step 4: Simplify right side
    12,301.31x = 711,969,147.56
  5. Step 5: Solve for x
    x = 711,969,147.56/12,301.31
  6. Step 6: Final answer
    x = 57,877.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.