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Finding the Third Proportional to 14.75 and 22.84

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Solution

The third proportional to 14.75 and 22.84 is: 35.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.75 : 22.84 = 22.84 : x
  2. Step 2: Convert to fraction form
    14.75/22.84 = 22.84/x
  3. Step 3: Cross multiply
    14.75x = 22.84 × 22.84
  4. Step 4: Simplify right side
    14.75x = 521.84
  5. Step 5: Solve for x
    x = 521.84/14.75
  6. Step 6: Final answer
    x = 35.38

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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.