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Finding the Third Proportional to 4,761.28 and 11,512.13

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Solution

The third proportional to 4,761.28 and 11,512.13 is: 27,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.28 : 11,512.13 = 11,512.13 : x
  2. Step 2: Convert to fraction form
    4,761.28/11,512.13 = 11,512.13/x
  3. Step 3: Cross multiply
    4,761.28x = 11,512.13 × 11,512.13
  4. Step 4: Simplify right side
    4,761.28x = 132,529,022.02
  5. Step 5: Solve for x
    x = 132,529,022.02/4,761.28
  6. Step 6: Final answer
    x = 27,834.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.