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Finding the Third Proportional to 23.48 and 50.77

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Solution

The third proportional to 23.48 and 50.77 is: 109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.48 : 50.77 = 50.77 : x
  2. Step 2: Convert to fraction form
    23.48/50.77 = 50.77/x
  3. Step 3: Cross multiply
    23.48x = 50.77 × 50.77
  4. Step 4: Simplify right side
    23.48x = 2,577.15
  5. Step 5: Solve for x
    x = 2,577.15/23.48
  6. Step 6: Final answer
    x = 109.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.