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Finding the Third Proportional to 14.71 and 22.43

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Solution

The third proportional to 14.71 and 22.43 is: 34.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.71 : 22.43 = 22.43 : x
  2. Step 2: Convert to fraction form
    14.71/22.43 = 22.43/x
  3. Step 3: Cross multiply
    14.71x = 22.43 × 22.43
  4. Step 4: Simplify right side
    14.71x = 502.96
  5. Step 5: Solve for x
    x = 502.96/14.71
  6. Step 6: Final answer
    x = 34.18

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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.