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Finding the Third Proportional to 1.06 and 2.09

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Solution

The third proportional to 1.06 and 2.09 is: 4.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.06 : 2.09 = 2.09 : x
  2. Step 2: Convert to fraction form
    1.06/2.09 = 2.09/x
  3. Step 3: Cross multiply
    1.06x = 2.09 × 2.09
  4. Step 4: Simplify right side
    1.06x = 4.38
  5. Step 5: Solve for x
    x = 4.38/1.06
  6. Step 6: Final answer
    x = 4.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.