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Finding the Third Proportional to 2.03 and 4.37

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Solution

The third proportional to 2.03 and 4.37 is: 9.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.03 : 4.37 = 4.37 : x
  2. Step 2: Convert to fraction form
    2.03/4.37 = 4.37/x
  3. Step 3: Cross multiply
    2.03x = 4.37 × 4.37
  4. Step 4: Simplify right side
    2.03x = 19.14
  5. Step 5: Solve for x
    x = 19.14/2.03
  6. Step 6: Final answer
    x = 9.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.