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Finding the Third Proportional to 23.77 and 51.16

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Solution

The third proportional to 23.77 and 51.16 is: 110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 51.16 = 51.16 : x
  2. Step 2: Convert to fraction form
    23.77/51.16 = 51.16/x
  3. Step 3: Cross multiply
    23.77x = 51.16 × 51.16
  4. Step 4: Simplify right side
    23.77x = 2,617.76
  5. Step 5: Solve for x
    x = 2,617.76/23.77
  6. Step 6: Final answer
    x = 110.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.