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Finding the Third Proportional to 2,946 and 7,227

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Solution

The third proportional to 2,946 and 7,227 is: 17,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946 : 7,227 = 7,227 : x
  2. Step 2: Convert to fraction form
    2,946/7,227 = 7,227/x
  3. Step 3: Cross multiply
    2,946x = 7,227 × 7,227
  4. Step 4: Simplify right side
    2,946x = 52,229,529
  5. Step 5: Solve for x
    x = 52,229,529/2,946
  6. Step 6: Final answer
    x = 17,728.96

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.