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Finding the Third Proportional to 20.57 and 44.77

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Solution

The third proportional to 20.57 and 44.77 is: 97.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.57 : 44.77 = 44.77 : x
  2. Step 2: Convert to fraction form
    20.57/44.77 = 44.77/x
  3. Step 3: Cross multiply
    20.57x = 44.77 × 44.77
  4. Step 4: Simplify right side
    20.57x = 2,004.49
  5. Step 5: Solve for x
    x = 2,004.49/20.57
  6. Step 6: Final answer
    x = 97.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.