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Finding the Third Proportional to 48,757.50 and 72,816

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Solution

The third proportional to 48,757.50 and 72,816 is: 108,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,757.50 : 72,816 = 72,816 : x
  2. Step 2: Convert to fraction form
    48,757.50/72,816 = 72,816/x
  3. Step 3: Cross multiply
    48,757.50x = 72,816 × 72,816
  4. Step 4: Simplify right side
    48,757.50x = 5,302,169,856
  5. Step 5: Solve for x
    x = 5,302,169,856/48,757.50
  6. Step 6: Final answer
    x = 108,745.73

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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.