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Finding the Third Proportional to 9.19 and 14.27

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Solution

The third proportional to 9.19 and 14.27 is: 22.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.19 : 14.27 = 14.27 : x
  2. Step 2: Convert to fraction form
    9.19/14.27 = 14.27/x
  3. Step 3: Cross multiply
    9.19x = 14.27 × 14.27
  4. Step 4: Simplify right side
    9.19x = 203.58
  5. Step 5: Solve for x
    x = 203.58/9.19
  6. Step 6: Final answer
    x = 22.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.