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Finding the Third Proportional to 27,832.78 and 58,399.31

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Solution

The third proportional to 27,832.78 and 58,399.31 is: 122,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.78 : 58,399.31 = 58,399.31 : x
  2. Step 2: Convert to fraction form
    27,832.78/58,399.31 = 58,399.31/x
  3. Step 3: Cross multiply
    27,832.78x = 58,399.31 × 58,399.31
  4. Step 4: Simplify right side
    27,832.78x = 3,410,479,700.47
  5. Step 5: Solve for x
    x = 3,410,479,700.47/27,832.78
  6. Step 6: Final answer
    x = 122,534.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.