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Finding the Third Proportional to 16,026 and 33,280.50

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Solution

The third proportional to 16,026 and 33,280.50 is: 69,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026 : 33,280.50 = 33,280.50 : x
  2. Step 2: Convert to fraction form
    16,026/33,280.50 = 33,280.50/x
  3. Step 3: Cross multiply
    16,026x = 33,280.50 × 33,280.50
  4. Step 4: Simplify right side
    16,026x = 1,107,591,680.25
  5. Step 5: Solve for x
    x = 1,107,591,680.25/16,026
  6. Step 6: Final answer
    x = 69,112.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.