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Finding the Third Proportional to 2.37 and 5.09

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Solution

The third proportional to 2.37 and 5.09 is: 10.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.37 : 5.09 = 5.09 : x
  2. Step 2: Convert to fraction form
    2.37/5.09 = 5.09/x
  3. Step 3: Cross multiply
    2.37x = 5.09 × 5.09
  4. Step 4: Simplify right side
    2.37x = 25.90
  5. Step 5: Solve for x
    x = 25.90/2.37
  6. Step 6: Final answer
    x = 10.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.