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Finding the Third Proportional to 5.85 and 7.64

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Solution

The third proportional to 5.85 and 7.64 is: 9.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.85 : 7.64 = 7.64 : x
  2. Step 2: Convert to fraction form
    5.85/7.64 = 7.64/x
  3. Step 3: Cross multiply
    5.85x = 7.64 × 7.64
  4. Step 4: Simplify right side
    5.85x = 58.37
  5. Step 5: Solve for x
    x = 58.37/5.85
  6. Step 6: Final answer
    x = 9.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.