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Finding the Third Proportional to 9.13 and 13.34

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Solution

The third proportional to 9.13 and 13.34 is: 19.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.13 : 13.34 = 13.34 : x
  2. Step 2: Convert to fraction form
    9.13/13.34 = 13.34/x
  3. Step 3: Cross multiply
    9.13x = 13.34 × 13.34
  4. Step 4: Simplify right side
    9.13x = 178.06
  5. Step 5: Solve for x
    x = 178.06/9.13
  6. Step 6: Final answer
    x = 19.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.