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Finding the Third Proportional to 39,403.25 and 59,144.25

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Solution

The third proportional to 39,403.25 and 59,144.25 is: 88,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,403.25 : 59,144.25 = 59,144.25 : x
  2. Step 2: Convert to fraction form
    39,403.25/59,144.25 = 59,144.25/x
  3. Step 3: Cross multiply
    39,403.25x = 59,144.25 × 59,144.25
  4. Step 4: Simplify right side
    39,403.25x = 3,498,042,308.06
  5. Step 5: Solve for x
    x = 3,498,042,308.06/39,403.25
  6. Step 6: Final answer
    x = 88,775.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.