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Finding the Third Proportional to 4,227 and 6,123.25

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Solution

The third proportional to 4,227 and 6,123.25 is: 8,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227 : 6,123.25 = 6,123.25 : x
  2. Step 2: Convert to fraction form
    4,227/6,123.25 = 6,123.25/x
  3. Step 3: Cross multiply
    4,227x = 6,123.25 × 6,123.25
  4. Step 4: Simplify right side
    4,227x = 37,494,190.56
  5. Step 5: Solve for x
    x = 37,494,190.56/4,227
  6. Step 6: Final answer
    x = 8,870.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.