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Finding the Third Proportional to 5,076.56 and 11,751.47

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Solution

The third proportional to 5,076.56 and 11,751.47 is: 27,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.56 : 11,751.47 = 11,751.47 : x
  2. Step 2: Convert to fraction form
    5,076.56/11,751.47 = 11,751.47/x
  3. Step 3: Cross multiply
    5,076.56x = 11,751.47 × 11,751.47
  4. Step 4: Simplify right side
    5,076.56x = 138,097,017.78
  5. Step 5: Solve for x
    x = 138,097,017.78/5,076.56
  6. Step 6: Final answer
    x = 27,202.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.