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Finding the Third Proportional to 7.80 and 20.48

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Solution

The third proportional to 7.80 and 20.48 is: 53.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.80 : 20.48 = 20.48 : x
  2. Step 2: Convert to fraction form
    7.80/20.48 = 20.48/x
  3. Step 3: Cross multiply
    7.80x = 20.48 × 20.48
  4. Step 4: Simplify right side
    7.80x = 419.61
  5. Step 5: Solve for x
    x = 419.61/7.80
  6. Step 6: Final answer
    x = 53.76

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.