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Finding the Third Proportional to 14.71 and 22.29

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Solution

The third proportional to 14.71 and 22.29 is: 33.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.71 : 22.29 = 22.29 : x
  2. Step 2: Convert to fraction form
    14.71/22.29 = 22.29/x
  3. Step 3: Cross multiply
    14.71x = 22.29 × 22.29
  4. Step 4: Simplify right side
    14.71x = 497.01
  5. Step 5: Solve for x
    x = 497.01/14.71
  6. Step 6: Final answer
    x = 33.78

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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.