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Finding the Third Proportional to 8.92 and 14.09

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Solution

The third proportional to 8.92 and 14.09 is: 22.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.92 : 14.09 = 14.09 : x
  2. Step 2: Convert to fraction form
    8.92/14.09 = 14.09/x
  3. Step 3: Cross multiply
    8.92x = 14.09 × 14.09
  4. Step 4: Simplify right side
    8.92x = 198.63
  5. Step 5: Solve for x
    x = 198.63/8.92
  6. Step 6: Final answer
    x = 22.26

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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.