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Finding the Third Proportional to 23.29 and 50.58

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Solution

The third proportional to 23.29 and 50.58 is: 109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.29 : 50.58 = 50.58 : x
  2. Step 2: Convert to fraction form
    23.29/50.58 = 50.58/x
  3. Step 3: Cross multiply
    23.29x = 50.58 × 50.58
  4. Step 4: Simplify right side
    23.29x = 2,558.15
  5. Step 5: Solve for x
    x = 2,558.15/23.29
  6. Step 6: Final answer
    x = 109.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.