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Finding the Third Proportional to 2.03 and 4.06

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Solution

The third proportional to 2.03 and 4.06 is: 8.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.03 : 4.06 = 4.06 : x
  2. Step 2: Convert to fraction form
    2.03/4.06 = 4.06/x
  3. Step 3: Cross multiply
    2.03x = 4.06 × 4.06
  4. Step 4: Simplify right side
    2.03x = 16.51
  5. Step 5: Solve for x
    x = 16.51/2.03
  6. Step 6: Final answer
    x = 8.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.