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Finding the Third Proportional to 14.08 and 30.92

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Solution

The third proportional to 14.08 and 30.92 is: 67.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.08 : 30.92 = 30.92 : x
  2. Step 2: Convert to fraction form
    14.08/30.92 = 30.92/x
  3. Step 3: Cross multiply
    14.08x = 30.92 × 30.92
  4. Step 4: Simplify right side
    14.08x = 956.00
  5. Step 5: Solve for x
    x = 956.00/14.08
  6. Step 6: Final answer
    x = 67.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.