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Finding the Third Proportional to 12,336.19 and 27,132.56

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Solution

The third proportional to 12,336.19 and 27,132.56 is: 59,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.19 : 27,132.56 = 27,132.56 : x
  2. Step 2: Convert to fraction form
    12,336.19/27,132.56 = 27,132.56/x
  3. Step 3: Cross multiply
    12,336.19x = 27,132.56 × 27,132.56
  4. Step 4: Simplify right side
    12,336.19x = 736,175,947.82
  5. Step 5: Solve for x
    x = 736,175,947.82/12,336.19
  6. Step 6: Final answer
    x = 59,676.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.