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Finding the Third Proportional to 9.29 and 13.93

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Solution

The third proportional to 9.29 and 13.93 is: 20.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.29 : 13.93 = 13.93 : x
  2. Step 2: Convert to fraction form
    9.29/13.93 = 13.93/x
  3. Step 3: Cross multiply
    9.29x = 13.93 × 13.93
  4. Step 4: Simplify right side
    9.29x = 194.08
  5. Step 5: Solve for x
    x = 194.08/9.29
  6. Step 6: Final answer
    x = 20.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.