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Finding the Third Proportional to 23.77 and 48.80

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Solution

The third proportional to 23.77 and 48.80 is: 100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 48.80 = 48.80 : x
  2. Step 2: Convert to fraction form
    23.77/48.80 = 48.80/x
  3. Step 3: Cross multiply
    23.77x = 48.80 × 48.80
  4. Step 4: Simplify right side
    23.77x = 2,381.13
  5. Step 5: Solve for x
    x = 2,381.13/23.77
  6. Step 6: Final answer
    x = 100.16

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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.