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Finding the Third Proportional to 820 and 2,228

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Solution

The third proportional to 820 and 2,228 is: 6,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    820 : 2,228 = 2,228 : x
  2. Step 2: Convert to fraction form
    820/2,228 = 2,228/x
  3. Step 3: Cross multiply
    820x = 2,228 × 2,228
  4. Step 4: Simplify right side
    820x = 4,963,984
  5. Step 5: Solve for x
    x = 4,963,984/820
  6. Step 6: Final answer
    x = 6,053.64

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.