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Finding the Third Proportional to 13.81 and 30.06

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Solution

The third proportional to 13.81 and 30.06 is: 65.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.81 : 30.06 = 30.06 : x
  2. Step 2: Convert to fraction form
    13.81/30.06 = 30.06/x
  3. Step 3: Cross multiply
    13.81x = 30.06 × 30.06
  4. Step 4: Simplify right side
    13.81x = 903.75
  5. Step 5: Solve for x
    x = 903.75/13.81
  6. Step 6: Final answer
    x = 65.43

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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.