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Finding the Third Proportional to 9.06 and 14.09

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Solution

The third proportional to 9.06 and 14.09 is: 21.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.06 : 14.09 = 14.09 : x
  2. Step 2: Convert to fraction form
    9.06/14.09 = 14.09/x
  3. Step 3: Cross multiply
    9.06x = 14.09 × 14.09
  4. Step 4: Simplify right side
    9.06x = 198.63
  5. Step 5: Solve for x
    x = 198.63/9.06
  6. Step 6: Final answer
    x = 21.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.