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Finding the Third Proportional to 5.93 and 16.31

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Solution

The third proportional to 5.93 and 16.31 is: 44.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.93 : 16.31 = 16.31 : x
  2. Step 2: Convert to fraction form
    5.93/16.31 = 16.31/x
  3. Step 3: Cross multiply
    5.93x = 16.31 × 16.31
  4. Step 4: Simplify right side
    5.93x = 266.08
  5. Step 5: Solve for x
    x = 266.08/5.93
  6. Step 6: Final answer
    x = 44.86

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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.