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Finding the Third Proportional to 2.03 and 3.13

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Solution

The third proportional to 2.03 and 3.13 is: 4.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.03 : 3.13 = 3.13 : x
  2. Step 2: Convert to fraction form
    2.03/3.13 = 3.13/x
  3. Step 3: Cross multiply
    2.03x = 3.13 × 3.13
  4. Step 4: Simplify right side
    2.03x = 9.77
  5. Step 5: Solve for x
    x = 9.77/2.03
  6. Step 6: Final answer
    x = 4.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.