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Finding the Third Proportional to 13.40 and 20.65

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Solution

The third proportional to 13.40 and 20.65 is: 31.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.40 : 20.65 = 20.65 : x
  2. Step 2: Convert to fraction form
    13.40/20.65 = 20.65/x
  3. Step 3: Cross multiply
    13.40x = 20.65 × 20.65
  4. Step 4: Simplify right side
    13.40x = 426.46
  5. Step 5: Solve for x
    x = 426.46/13.40
  6. Step 6: Final answer
    x = 31.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.