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Finding the Third Proportional to 45,816.75 and 67,086

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Solution

The third proportional to 45,816.75 and 67,086 is: 98,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,816.75 : 67,086 = 67,086 : x
  2. Step 2: Convert to fraction form
    45,816.75/67,086 = 67,086/x
  3. Step 3: Cross multiply
    45,816.75x = 67,086 × 67,086
  4. Step 4: Simplify right side
    45,816.75x = 4,500,531,396
  5. Step 5: Solve for x
    x = 4,500,531,396/45,816.75
  6. Step 6: Final answer
    x = 98,228.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.