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Finding the Third Proportional to 4.85 and 7.09

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Solution

The third proportional to 4.85 and 7.09 is: 10.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.85 : 7.09 = 7.09 : x
  2. Step 2: Convert to fraction form
    4.85/7.09 = 7.09/x
  3. Step 3: Cross multiply
    4.85x = 7.09 × 7.09
  4. Step 4: Simplify right side
    4.85x = 50.27
  5. Step 5: Solve for x
    x = 50.27/4.85
  6. Step 6: Final answer
    x = 10.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.