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Finding the Third Proportional to 27,716.91 and 57,402.56

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Solution

The third proportional to 27,716.91 and 57,402.56 is: 118,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.91 : 57,402.56 = 57,402.56 : x
  2. Step 2: Convert to fraction form
    27,716.91/57,402.56 = 57,402.56/x
  3. Step 3: Cross multiply
    27,716.91x = 57,402.56 × 57,402.56
  4. Step 4: Simplify right side
    27,716.91x = 3,295,054,181.57
  5. Step 5: Solve for x
    x = 3,295,054,181.57/27,716.91
  6. Step 6: Final answer
    x = 118,882.47

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.