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Finding the Third Proportional to 20.38 and 23.50

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Solution

The third proportional to 20.38 and 23.50 is: 27.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.38 : 23.50 = 23.50 : x
  2. Step 2: Convert to fraction form
    20.38/23.50 = 23.50/x
  3. Step 3: Cross multiply
    20.38x = 23.50 × 23.50
  4. Step 4: Simplify right side
    20.38x = 552.25
  5. Step 5: Solve for x
    x = 552.25/20.38
  6. Step 6: Final answer
    x = 27.10

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.