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Finding the Third Proportional to 23.77 and 51.28

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Solution

The third proportional to 23.77 and 51.28 is: 110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 51.28 = 51.28 : x
  2. Step 2: Convert to fraction form
    23.77/51.28 = 51.28/x
  3. Step 3: Cross multiply
    23.77x = 51.28 × 51.28
  4. Step 4: Simplify right side
    23.77x = 2,629.77
  5. Step 5: Solve for x
    x = 2,629.77/23.77
  6. Step 6: Final answer
    x = 110.65

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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.