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Finding the Third Proportional to 4,983.75 and 11,757.38

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Solution

The third proportional to 4,983.75 and 11,757.38 is: 27,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.75 : 11,757.38 = 11,757.38 : x
  2. Step 2: Convert to fraction form
    4,983.75/11,757.38 = 11,757.38/x
  3. Step 3: Cross multiply
    4,983.75x = 11,757.38 × 11,757.38
  4. Step 4: Simplify right side
    4,983.75x = 138,235,866.89
  5. Step 5: Solve for x
    x = 138,235,866.89/4,983.75
  6. Step 6: Final answer
    x = 27,737.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.