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Finding the Third Proportional to 3,784.50 and 8,298

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Solution

The third proportional to 3,784.50 and 8,298 is: 18,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.50 : 8,298 = 8,298 : x
  2. Step 2: Convert to fraction form
    3,784.50/8,298 = 8,298/x
  3. Step 3: Cross multiply
    3,784.50x = 8,298 × 8,298
  4. Step 4: Simplify right side
    3,784.50x = 68,856,804
  5. Step 5: Solve for x
    x = 68,856,804/3,784.50
  6. Step 6: Final answer
    x = 18,194.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.