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Finding the Third Proportional to 5.75 and 13.63

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Solution

The third proportional to 5.75 and 13.63 is: 32.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.75 : 13.63 = 13.63 : x
  2. Step 2: Convert to fraction form
    5.75/13.63 = 13.63/x
  3. Step 3: Cross multiply
    5.75x = 13.63 × 13.63
  4. Step 4: Simplify right side
    5.75x = 185.64
  5. Step 5: Solve for x
    x = 185.64/5.75
  6. Step 6: Final answer
    x = 32.29

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.