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Finding the Third Proportional to 13.88 and 30.31

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Solution

The third proportional to 13.88 and 30.31 is: 66.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.88 : 30.31 = 30.31 : x
  2. Step 2: Convert to fraction form
    13.88/30.31 = 30.31/x
  3. Step 3: Cross multiply
    13.88x = 30.31 × 30.31
  4. Step 4: Simplify right side
    13.88x = 918.85
  5. Step 5: Solve for x
    x = 918.85/13.88
  6. Step 6: Final answer
    x = 66.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.