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Finding the Third Proportional to 23.29 and 50.10

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Solution

The third proportional to 23.29 and 50.10 is: 107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.29 : 50.10 = 50.10 : x
  2. Step 2: Convert to fraction form
    23.29/50.10 = 50.10/x
  3. Step 3: Cross multiply
    23.29x = 50.10 × 50.10
  4. Step 4: Simplify right side
    23.29x = 2,510.11
  5. Step 5: Solve for x
    x = 2,510.11/23.29
  6. Step 6: Final answer
    x = 107.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.