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Finding the Third Proportional to 30,760.50 and 48,192

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Solution

The third proportional to 30,760.50 and 48,192 is: 75,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.50 : 48,192 = 48,192 : x
  2. Step 2: Convert to fraction form
    30,760.50/48,192 = 48,192/x
  3. Step 3: Cross multiply
    30,760.50x = 48,192 × 48,192
  4. Step 4: Simplify right side
    30,760.50x = 2,322,468,864
  5. Step 5: Solve for x
    x = 2,322,468,864/30,760.50
  6. Step 6: Final answer
    x = 75,501.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.