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Finding the Third Proportional to 20.94 and 27.50

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Solution

The third proportional to 20.94 and 27.50 is: 36.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.94 : 27.50 = 27.50 : x
  2. Step 2: Convert to fraction form
    20.94/27.50 = 27.50/x
  3. Step 3: Cross multiply
    20.94x = 27.50 × 27.50
  4. Step 4: Simplify right side
    20.94x = 756.25
  5. Step 5: Solve for x
    x = 756.25/20.94
  6. Step 6: Final answer
    x = 36.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.