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Finding the Third Proportional to 20.72 and 42.47

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Solution

The third proportional to 20.72 and 42.47 is: 87.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.72 : 42.47 = 42.47 : x
  2. Step 2: Convert to fraction form
    20.72/42.47 = 42.47/x
  3. Step 3: Cross multiply
    20.72x = 42.47 × 42.47
  4. Step 4: Simplify right side
    20.72x = 1,803.59
  5. Step 5: Solve for x
    x = 1,803.59/20.72
  6. Step 6: Final answer
    x = 87.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.