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Finding the Third Proportional to 0.65 and 1.33

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Solution

The third proportional to 0.65 and 1.33 is: 2.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.65 : 1.33 = 1.33 : x
  2. Step 2: Convert to fraction form
    0.65/1.33 = 1.33/x
  3. Step 3: Cross multiply
    0.65x = 1.33 × 1.33
  4. Step 4: Simplify right side
    0.65x = 1.76
  5. Step 5: Solve for x
    x = 1.76/0.65
  6. Step 6: Final answer
    x = 2.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.