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Finding the Third Proportional to 23.30 and 34.83

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Solution

The third proportional to 23.30 and 34.83 is: 52.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.30 : 34.83 = 34.83 : x
  2. Step 2: Convert to fraction form
    23.30/34.83 = 34.83/x
  3. Step 3: Cross multiply
    23.30x = 34.83 × 34.83
  4. Step 4: Simplify right side
    23.30x = 1,213.00
  5. Step 5: Solve for x
    x = 1,213.00/23.30
  6. Step 6: Final answer
    x = 52.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.