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Finding the Third Proportional to 4,812.75 and 10,449

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Solution

The third proportional to 4,812.75 and 10,449 is: 22,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.75 : 10,449 = 10,449 : x
  2. Step 2: Convert to fraction form
    4,812.75/10,449 = 10,449/x
  3. Step 3: Cross multiply
    4,812.75x = 10,449 × 10,449
  4. Step 4: Simplify right side
    4,812.75x = 109,181,601
  5. Step 5: Solve for x
    x = 109,181,601/4,812.75
  6. Step 6: Final answer
    x = 22,685.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.