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Finding the Third Proportional to 14.06 and 24.27

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Solution

The third proportional to 14.06 and 24.27 is: 41.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.06 : 24.27 = 24.27 : x
  2. Step 2: Convert to fraction form
    14.06/24.27 = 24.27/x
  3. Step 3: Cross multiply
    14.06x = 24.27 × 24.27
  4. Step 4: Simplify right side
    14.06x = 589.23
  5. Step 5: Solve for x
    x = 589.23/14.06
  6. Step 6: Final answer
    x = 41.90

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.