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Finding the Third Proportional to 4.45 and 5.79

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Solution

The third proportional to 4.45 and 5.79 is: 7.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.45 : 5.79 = 5.79 : x
  2. Step 2: Convert to fraction form
    4.45/5.79 = 5.79/x
  3. Step 3: Cross multiply
    4.45x = 5.79 × 5.79
  4. Step 4: Simplify right side
    4.45x = 33.52
  5. Step 5: Solve for x
    x = 33.52/4.45
  6. Step 6: Final answer
    x = 7.53

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.