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Finding the Third Proportional to 38,535.75 and 59,204.25

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Solution

The third proportional to 38,535.75 and 59,204.25 is: 90,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535.75 : 59,204.25 = 59,204.25 : x
  2. Step 2: Convert to fraction form
    38,535.75/59,204.25 = 59,204.25/x
  3. Step 3: Cross multiply
    38,535.75x = 59,204.25 × 59,204.25
  4. Step 4: Simplify right side
    38,535.75x = 3,505,143,218.06
  5. Step 5: Solve for x
    x = 3,505,143,218.06/38,535.75
  6. Step 6: Final answer
    x = 90,958.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.