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Finding the Third Proportional to 14.39 and 22.01

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Solution

The third proportional to 14.39 and 22.01 is: 33.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.39 : 22.01 = 22.01 : x
  2. Step 2: Convert to fraction form
    14.39/22.01 = 22.01/x
  3. Step 3: Cross multiply
    14.39x = 22.01 × 22.01
  4. Step 4: Simplify right side
    14.39x = 484.34
  5. Step 5: Solve for x
    x = 484.34/14.39
  6. Step 6: Final answer
    x = 33.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.