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Finding the Third Proportional to 16,033.50 and 27,510

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Solution

The third proportional to 16,033.50 and 27,510 is: 47,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.50 : 27,510 = 27,510 : x
  2. Step 2: Convert to fraction form
    16,033.50/27,510 = 27,510/x
  3. Step 3: Cross multiply
    16,033.50x = 27,510 × 27,510
  4. Step 4: Simplify right side
    16,033.50x = 756,800,100
  5. Step 5: Solve for x
    x = 756,800,100/16,033.50
  6. Step 6: Final answer
    x = 47,201.18

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.