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Finding the Third Proportional to 36,909 and 57,260.25

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Solution

The third proportional to 36,909 and 57,260.25 is: 88,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909 : 57,260.25 = 57,260.25 : x
  2. Step 2: Convert to fraction form
    36,909/57,260.25 = 57,260.25/x
  3. Step 3: Cross multiply
    36,909x = 57,260.25 × 57,260.25
  4. Step 4: Simplify right side
    36,909x = 3,278,736,230.06
  5. Step 5: Solve for x
    x = 3,278,736,230.06/36,909
  6. Step 6: Final answer
    x = 88,832.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.