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Finding the Third Proportional to 28,035 and 41,650.50

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Solution

The third proportional to 28,035 and 41,650.50 is: 61,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,035 : 41,650.50 = 41,650.50 : x
  2. Step 2: Convert to fraction form
    28,035/41,650.50 = 41,650.50/x
  3. Step 3: Cross multiply
    28,035x = 41,650.50 × 41,650.50
  4. Step 4: Simplify right side
    28,035x = 1,734,764,150.25
  5. Step 5: Solve for x
    x = 1,734,764,150.25/28,035
  6. Step 6: Final answer
    x = 61,878.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.