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Finding the Third Proportional to 39,619.50 and 59,431.50

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Solution

The third proportional to 39,619.50 and 59,431.50 is: 89,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,619.50 : 59,431.50 = 59,431.50 : x
  2. Step 2: Convert to fraction form
    39,619.50/59,431.50 = 59,431.50/x
  3. Step 3: Cross multiply
    39,619.50x = 59,431.50 × 59,431.50
  4. Step 4: Simplify right side
    39,619.50x = 3,532,103,192.25
  5. Step 5: Solve for x
    x = 3,532,103,192.25/39,619.50
  6. Step 6: Final answer
    x = 89,150.63

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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.