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Finding the Third Proportional to 7.99 and 14.83

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Solution

The third proportional to 7.99 and 14.83 is: 27.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.99 : 14.83 = 14.83 : x
  2. Step 2: Convert to fraction form
    7.99/14.83 = 14.83/x
  3. Step 3: Cross multiply
    7.99x = 14.83 × 14.83
  4. Step 4: Simplify right side
    7.99x = 219.90
  5. Step 5: Solve for x
    x = 219.90/7.99
  6. Step 6: Final answer
    x = 27.52

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.