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Finding the Third Proportional to 27,705.75 and 57,382.50

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Solution

The third proportional to 27,705.75 and 57,382.50 is: 118,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.75 : 57,382.50 = 57,382.50 : x
  2. Step 2: Convert to fraction form
    27,705.75/57,382.50 = 57,382.50/x
  3. Step 3: Cross multiply
    27,705.75x = 57,382.50 × 57,382.50
  4. Step 4: Simplify right side
    27,705.75x = 3,292,751,306.25
  5. Step 5: Solve for x
    x = 3,292,751,306.25/27,705.75
  6. Step 6: Final answer
    x = 118,847.22

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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.