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Finding the Third Proportional to 12,427.13 and 27,216.75

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Solution

The third proportional to 12,427.13 and 27,216.75 is: 59,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.13 : 27,216.75 = 27,216.75 : x
  2. Step 2: Convert to fraction form
    12,427.13/27,216.75 = 27,216.75/x
  3. Step 3: Cross multiply
    12,427.13x = 27,216.75 × 27,216.75
  4. Step 4: Simplify right side
    12,427.13x = 740,751,480.56
  5. Step 5: Solve for x
    x = 740,751,480.56/12,427.13
  6. Step 6: Final answer
    x = 59,607.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.