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Finding the Third Proportional to 16,216.50 and 33,648

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Solution

The third proportional to 16,216.50 and 33,648 is: 69,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.50 : 33,648 = 33,648 : x
  2. Step 2: Convert to fraction form
    16,216.50/33,648 = 33,648/x
  3. Step 3: Cross multiply
    16,216.50x = 33,648 × 33,648
  4. Step 4: Simplify right side
    16,216.50x = 1,132,187,904
  5. Step 5: Solve for x
    x = 1,132,187,904/16,216.50
  6. Step 6: Final answer
    x = 69,817.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.