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Finding the Third Proportional to 14.13 and 30.11

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Solution

The third proportional to 14.13 and 30.11 is: 64.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.13 : 30.11 = 30.11 : x
  2. Step 2: Convert to fraction form
    14.13/30.11 = 30.11/x
  3. Step 3: Cross multiply
    14.13x = 30.11 × 30.11
  4. Step 4: Simplify right side
    14.13x = 906.69
  5. Step 5: Solve for x
    x = 906.69/14.13
  6. Step 6: Final answer
    x = 64.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.