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Finding the Third Proportional to 2.37 and 5.19

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Solution

The third proportional to 2.37 and 5.19 is: 11.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.37 : 5.19 = 5.19 : x
  2. Step 2: Convert to fraction form
    2.37/5.19 = 5.19/x
  3. Step 3: Cross multiply
    2.37x = 5.19 × 5.19
  4. Step 4: Simplify right side
    2.37x = 26.98
  5. Step 5: Solve for x
    x = 26.98/2.37
  6. Step 6: Final answer
    x = 11.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.