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Finding the Third Proportional to 14.73 and 22.39

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Solution

The third proportional to 14.73 and 22.39 is: 34.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.73 : 22.39 = 22.39 : x
  2. Step 2: Convert to fraction form
    14.73/22.39 = 22.39/x
  3. Step 3: Cross multiply
    14.73x = 22.39 × 22.39
  4. Step 4: Simplify right side
    14.73x = 501.12
  5. Step 5: Solve for x
    x = 501.12/14.73
  6. Step 6: Final answer
    x = 34.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.