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Finding the Third Proportional to 13.93 and 21.46

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Solution

The third proportional to 13.93 and 21.46 is: 33.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.93 : 21.46 = 21.46 : x
  2. Step 2: Convert to fraction form
    13.93/21.46 = 21.46/x
  3. Step 3: Cross multiply
    13.93x = 21.46 × 21.46
  4. Step 4: Simplify right side
    13.93x = 460.65
  5. Step 5: Solve for x
    x = 460.65/13.93
  6. Step 6: Final answer
    x = 33.07

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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.