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Finding the Third Proportional to 39,188.25 and 59,699.25

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Solution

The third proportional to 39,188.25 and 59,699.25 is: 90,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,188.25 : 59,699.25 = 59,699.25 : x
  2. Step 2: Convert to fraction form
    39,188.25/59,699.25 = 59,699.25/x
  3. Step 3: Cross multiply
    39,188.25x = 59,699.25 × 59,699.25
  4. Step 4: Simplify right side
    39,188.25x = 3,564,000,450.56
  5. Step 5: Solve for x
    x = 3,564,000,450.56/39,188.25
  6. Step 6: Final answer
    x = 90,945.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.