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Finding the Third Proportional to 13.04 and 17.42

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Solution

The third proportional to 13.04 and 17.42 is: 23.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.04 : 17.42 = 17.42 : x
  2. Step 2: Convert to fraction form
    13.04/17.42 = 17.42/x
  3. Step 3: Cross multiply
    13.04x = 17.42 × 17.42
  4. Step 4: Simplify right side
    13.04x = 303.45
  5. Step 5: Solve for x
    x = 303.45/13.04
  6. Step 6: Final answer
    x = 23.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.