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Finding the Third Proportional to 27,765.56 and 39,571.31

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Solution

The third proportional to 27,765.56 and 39,571.31 is: 56,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.56 : 39,571.31 = 39,571.31 : x
  2. Step 2: Convert to fraction form
    27,765.56/39,571.31 = 39,571.31/x
  3. Step 3: Cross multiply
    27,765.56x = 39,571.31 × 39,571.31
  4. Step 4: Simplify right side
    27,765.56x = 1,565,888,772.97
  5. Step 5: Solve for x
    x = 1,565,888,772.97/27,765.56
  6. Step 6: Final answer
    x = 56,396.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.