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Finding the Third Proportional to 16,189 and 35,226.50

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Solution

The third proportional to 16,189 and 35,226.50 is: 76,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189 : 35,226.50 = 35,226.50 : x
  2. Step 2: Convert to fraction form
    16,189/35,226.50 = 35,226.50/x
  3. Step 3: Cross multiply
    16,189x = 35,226.50 × 35,226.50
  4. Step 4: Simplify right side
    16,189x = 1,240,906,302.25
  5. Step 5: Solve for x
    x = 1,240,906,302.25/16,189
  6. Step 6: Final answer
    x = 76,651.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.