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Finding the Third Proportional to 23.32 and 50.90

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Solution

The third proportional to 23.32 and 50.90 is: 111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.32 : 50.90 = 50.90 : x
  2. Step 2: Convert to fraction form
    23.32/50.90 = 50.90/x
  3. Step 3: Cross multiply
    23.32x = 50.90 × 50.90
  4. Step 4: Simplify right side
    23.32x = 2,591.00
  5. Step 5: Solve for x
    x = 2,591.00/23.32
  6. Step 6: Final answer
    x = 111.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.