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Finding the Third Proportional to 0.67 and 1.07

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Solution

The third proportional to 0.67 and 1.07 is: 1.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.67 : 1.07 = 1.07 : x
  2. Step 2: Convert to fraction form
    0.67/1.07 = 1.07/x
  3. Step 3: Cross multiply
    0.67x = 1.07 × 1.07
  4. Step 4: Simplify right side
    0.67x = 1.14
  5. Step 5: Solve for x
    x = 1.14/0.67
  6. Step 6: Final answer
    x = 1.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.