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Finding the Third Proportional to 5.85 and 9.75

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Solution

The third proportional to 5.85 and 9.75 is: 16.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.85 : 9.75 = 9.75 : x
  2. Step 2: Convert to fraction form
    5.85/9.75 = 9.75/x
  3. Step 3: Cross multiply
    5.85x = 9.75 × 9.75
  4. Step 4: Simplify right side
    5.85x = 95.12
  5. Step 5: Solve for x
    x = 95.12/5.85
  6. Step 6: Final answer
    x = 16.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.