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Finding the Third Proportional to 3.61 and 9.93

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Solution

The third proportional to 3.61 and 9.93 is: 27.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.61 : 9.93 = 9.93 : x
  2. Step 2: Convert to fraction form
    3.61/9.93 = 9.93/x
  3. Step 3: Cross multiply
    3.61x = 9.93 × 9.93
  4. Step 4: Simplify right side
    3.61x = 98.64
  5. Step 5: Solve for x
    x = 98.64/3.61
  6. Step 6: Final answer
    x = 27.31

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.