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Finding the Third Proportional to 12.09 and 27.98

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Solution

The third proportional to 12.09 and 27.98 is: 64.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.09 : 27.98 = 27.98 : x
  2. Step 2: Convert to fraction form
    12.09/27.98 = 27.98/x
  3. Step 3: Cross multiply
    12.09x = 27.98 × 27.98
  4. Step 4: Simplify right side
    12.09x = 783.13
  5. Step 5: Solve for x
    x = 783.13/12.09
  6. Step 6: Final answer
    x = 64.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.