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Finding the Third Proportional to 2,007 and 5,412

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Solution

The third proportional to 2,007 and 5,412 is: 14,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007 : 5,412 = 5,412 : x
  2. Step 2: Convert to fraction form
    2,007/5,412 = 5,412/x
  3. Step 3: Cross multiply
    2,007x = 5,412 × 5,412
  4. Step 4: Simplify right side
    2,007x = 29,289,744
  5. Step 5: Solve for x
    x = 29,289,744/2,007
  6. Step 6: Final answer
    x = 14,593.79

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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.