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Finding the Third Proportional to 8.82 and 13.93

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Solution

The third proportional to 8.82 and 13.93 is: 22.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.82 : 13.93 = 13.93 : x
  2. Step 2: Convert to fraction form
    8.82/13.93 = 13.93/x
  3. Step 3: Cross multiply
    8.82x = 13.93 × 13.93
  4. Step 4: Simplify right side
    8.82x = 194.13
  5. Step 5: Solve for x
    x = 194.13/8.82
  6. Step 6: Final answer
    x = 22.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.