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Finding the Third Proportional to 1.07 and 2.11

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Solution

The third proportional to 1.07 and 2.11 is: 4.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.07 : 2.11 = 2.11 : x
  2. Step 2: Convert to fraction form
    1.07/2.11 = 2.11/x
  3. Step 3: Cross multiply
    1.07x = 2.11 × 2.11
  4. Step 4: Simplify right side
    1.07x = 4.44
  5. Step 5: Solve for x
    x = 4.44/1.07
  6. Step 6: Final answer
    x = 4.14

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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.