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Finding the Third Proportional to 15,228 and 33,223

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Solution

The third proportional to 15,228 and 33,223 is: 72,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228 : 33,223 = 33,223 : x
  2. Step 2: Convert to fraction form
    15,228/33,223 = 33,223/x
  3. Step 3: Cross multiply
    15,228x = 33,223 × 33,223
  4. Step 4: Simplify right side
    15,228x = 1,103,767,729
  5. Step 5: Solve for x
    x = 1,103,767,729/15,228
  6. Step 6: Final answer
    x = 72,482.78

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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.