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Finding the Third Proportional to 14.24 and 22.07

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Solution

The third proportional to 14.24 and 22.07 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.24 : 22.07 = 22.07 : x
  2. Step 2: Convert to fraction form
    14.24/22.07 = 22.07/x
  3. Step 3: Cross multiply
    14.24x = 22.07 × 22.07
  4. Step 4: Simplify right side
    14.24x = 487.06
  5. Step 5: Solve for x
    x = 487.06/14.24
  6. Step 6: Final answer
    x = 34.21

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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.