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Finding the Third Proportional to 20.77 and 48.76

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Solution

The third proportional to 20.77 and 48.76 is: 114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.77 : 48.76 = 48.76 : x
  2. Step 2: Convert to fraction form
    20.77/48.76 = 48.76/x
  3. Step 3: Cross multiply
    20.77x = 48.76 × 48.76
  4. Step 4: Simplify right side
    20.77x = 2,377.20
  5. Step 5: Solve for x
    x = 2,377.20/20.77
  6. Step 6: Final answer
    x = 114.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.