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Finding the Third Proportional to 5.24 and 7.99

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Solution

The third proportional to 5.24 and 7.99 is: 12.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.24 : 7.99 = 7.99 : x
  2. Step 2: Convert to fraction form
    5.24/7.99 = 7.99/x
  3. Step 3: Cross multiply
    5.24x = 7.99 × 7.99
  4. Step 4: Simplify right side
    5.24x = 63.89
  5. Step 5: Solve for x
    x = 63.89/5.24
  6. Step 6: Final answer
    x = 12.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.