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Finding the Third Proportional to 27,251.44 and 57,806.16

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Solution

The third proportional to 27,251.44 and 57,806.16 is: 122,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,251.44 : 57,806.16 = 57,806.16 : x
  2. Step 2: Convert to fraction form
    27,251.44/57,806.16 = 57,806.16/x
  3. Step 3: Cross multiply
    27,251.44x = 57,806.16 × 57,806.16
  4. Step 4: Simplify right side
    27,251.44x = 3,341,551,700.40
  5. Step 5: Solve for x
    x = 3,341,551,700.40/27,251.44
  6. Step 6: Final answer
    x = 122,619.28

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.