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Finding the Third Proportional to 22,182 and 33,295.50

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Solution

The third proportional to 22,182 and 33,295.50 is: 49,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182 : 33,295.50 = 33,295.50 : x
  2. Step 2: Convert to fraction form
    22,182/33,295.50 = 33,295.50/x
  3. Step 3: Cross multiply
    22,182x = 33,295.50 × 33,295.50
  4. Step 4: Simplify right side
    22,182x = 1,108,590,320.25
  5. Step 5: Solve for x
    x = 1,108,590,320.25/22,182
  6. Step 6: Final answer
    x = 49,977.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.