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Finding the Third Proportional to 8.07 and 14.48

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Solution

The third proportional to 8.07 and 14.48 is: 25.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.07 : 14.48 = 14.48 : x
  2. Step 2: Convert to fraction form
    8.07/14.48 = 14.48/x
  3. Step 3: Cross multiply
    8.07x = 14.48 × 14.48
  4. Step 4: Simplify right side
    8.07x = 209.54
  5. Step 5: Solve for x
    x = 209.54/8.07
  6. Step 6: Final answer
    x = 25.97

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.