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Finding the Third Proportional to 12,738.59 and 27,672.05

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Solution

The third proportional to 12,738.59 and 27,672.05 is: 60,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.59 : 27,672.05 = 27,672.05 : x
  2. Step 2: Convert to fraction form
    12,738.59/27,672.05 = 27,672.05/x
  3. Step 3: Cross multiply
    12,738.59x = 27,672.05 × 27,672.05
  4. Step 4: Simplify right side
    12,738.59x = 765,742,178.25
  5. Step 5: Solve for x
    x = 765,742,178.25/12,738.59
  6. Step 6: Final answer
    x = 60,112.02

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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.