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Finding the Third Proportional to 5.90 and 13.54

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Solution

The third proportional to 5.90 and 13.54 is: 31.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.90 : 13.54 = 13.54 : x
  2. Step 2: Convert to fraction form
    5.90/13.54 = 13.54/x
  3. Step 3: Cross multiply
    5.90x = 13.54 × 13.54
  4. Step 4: Simplify right side
    5.90x = 183.31
  5. Step 5: Solve for x
    x = 183.31/5.90
  6. Step 6: Final answer
    x = 31.06

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.