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Finding the Third Proportional to 11,682.56 and 27,427.78

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Solution

The third proportional to 11,682.56 and 27,427.78 is: 64,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.56 : 27,427.78 = 27,427.78 : x
  2. Step 2: Convert to fraction form
    11,682.56/27,427.78 = 27,427.78/x
  3. Step 3: Cross multiply
    11,682.56x = 27,427.78 × 27,427.78
  4. Step 4: Simplify right side
    11,682.56x = 752,283,184.30
  5. Step 5: Solve for x
    x = 752,283,184.30/11,682.56
  6. Step 6: Final answer
    x = 64,393.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.