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Finding the Third Proportional to 1.01 and 2.08

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Solution

The third proportional to 1.01 and 2.08 is: 4.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.01 : 2.08 = 2.08 : x
  2. Step 2: Convert to fraction form
    1.01/2.08 = 2.08/x
  3. Step 3: Cross multiply
    1.01x = 2.08 × 2.08
  4. Step 4: Simplify right side
    1.01x = 4.34
  5. Step 5: Solve for x
    x = 4.34/1.01
  6. Step 6: Final answer
    x = 4.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.