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Finding the Third Proportional to 12.75 and 30.31

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Solution

The third proportional to 12.75 and 30.31 is: 72.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.75 : 30.31 = 30.31 : x
  2. Step 2: Convert to fraction form
    12.75/30.31 = 30.31/x
  3. Step 3: Cross multiply
    12.75x = 30.31 × 30.31
  4. Step 4: Simplify right side
    12.75x = 918.85
  5. Step 5: Solve for x
    x = 918.85/12.75
  6. Step 6: Final answer
    x = 72.07

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.