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Finding the Third Proportional to 23.36 and 34.20

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Solution

The third proportional to 23.36 and 34.20 is: 50.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.36 : 34.20 = 34.20 : x
  2. Step 2: Convert to fraction form
    23.36/34.20 = 34.20/x
  3. Step 3: Cross multiply
    23.36x = 34.20 × 34.20
  4. Step 4: Simplify right side
    23.36x = 1,169.60
  5. Step 5: Solve for x
    x = 1,169.60/23.36
  6. Step 6: Final answer
    x = 50.08

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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.