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Finding the Third Proportional to 5,427 and 14,640.75

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Solution

The third proportional to 5,427 and 14,640.75 is: 39,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427 : 14,640.75 = 14,640.75 : x
  2. Step 2: Convert to fraction form
    5,427/14,640.75 = 14,640.75/x
  3. Step 3: Cross multiply
    5,427x = 14,640.75 × 14,640.75
  4. Step 4: Simplify right side
    5,427x = 214,351,560.56
  5. Step 5: Solve for x
    x = 214,351,560.56/5,427
  6. Step 6: Final answer
    x = 39,497.25

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.