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Finding the Third Proportional to 5.59 and 11.90

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Solution

The third proportional to 5.59 and 11.90 is: 25.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.59 : 11.90 = 11.90 : x
  2. Step 2: Convert to fraction form
    5.59/11.90 = 11.90/x
  3. Step 3: Cross multiply
    5.59x = 11.90 × 11.90
  4. Step 4: Simplify right side
    5.59x = 141.52
  5. Step 5: Solve for x
    x = 141.52/5.59
  6. Step 6: Final answer
    x = 25.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.