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Finding the Third Proportional to 1.99 and 3.01

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Solution

The third proportional to 1.99 and 3.01 is: 4.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.99 : 3.01 = 3.01 : x
  2. Step 2: Convert to fraction form
    1.99/3.01 = 3.01/x
  3. Step 3: Cross multiply
    1.99x = 3.01 × 3.01
  4. Step 4: Simplify right side
    1.99x = 9.06
  5. Step 5: Solve for x
    x = 9.06/1.99
  6. Step 6: Final answer
    x = 4.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.