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Finding the Third Proportional to 41,651 and 59,519.50

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Solution

The third proportional to 41,651 and 59,519.50 is: 85,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,651 : 59,519.50 = 59,519.50 : x
  2. Step 2: Convert to fraction form
    41,651/59,519.50 = 59,519.50/x
  3. Step 3: Cross multiply
    41,651x = 59,519.50 × 59,519.50
  4. Step 4: Simplify right side
    41,651x = 3,542,570,880.25
  5. Step 5: Solve for x
    x = 3,542,570,880.25/41,651
  6. Step 6: Final answer
    x = 85,053.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.