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Finding the Third Proportional to 20.43 and 29.88

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Solution

The third proportional to 20.43 and 29.88 is: 43.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.43 : 29.88 = 29.88 : x
  2. Step 2: Convert to fraction form
    20.43/29.88 = 29.88/x
  3. Step 3: Cross multiply
    20.43x = 29.88 × 29.88
  4. Step 4: Simplify right side
    20.43x = 892.68
  5. Step 5: Solve for x
    x = 892.68/20.43
  6. Step 6: Final answer
    x = 43.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.