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Finding the Third Proportional to 22,228 and 33,102

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Solution

The third proportional to 22,228 and 33,102 is: 49,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,228 : 33,102 = 33,102 : x
  2. Step 2: Convert to fraction form
    22,228/33,102 = 33,102/x
  3. Step 3: Cross multiply
    22,228x = 33,102 × 33,102
  4. Step 4: Simplify right side
    22,228x = 1,095,742,404
  5. Step 5: Solve for x
    x = 1,095,742,404/22,228
  6. Step 6: Final answer
    x = 49,295.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.