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Finding the Third Proportional to 9.35 and 14.41

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Solution

The third proportional to 9.35 and 14.41 is: 22.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.35 : 14.41 = 14.41 : x
  2. Step 2: Convert to fraction form
    9.35/14.41 = 14.41/x
  3. Step 3: Cross multiply
    9.35x = 14.41 × 14.41
  4. Step 4: Simplify right side
    9.35x = 207.77
  5. Step 5: Solve for x
    x = 207.77/9.35
  6. Step 6: Final answer
    x = 22.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.