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Finding the Third Proportional to 27,724.78 and 56,653.17

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Solution

The third proportional to 27,724.78 and 56,653.17 is: 115,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.78 : 56,653.17 = 56,653.17 : x
  2. Step 2: Convert to fraction form
    27,724.78/56,653.17 = 56,653.17/x
  3. Step 3: Cross multiply
    27,724.78x = 56,653.17 × 56,653.17
  4. Step 4: Simplify right side
    27,724.78x = 3,209,581,883.50
  5. Step 5: Solve for x
    x = 3,209,581,883.50/27,724.78
  6. Step 6: Final answer
    x = 115,765.81

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.