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Finding the Third Proportional to 7,449 and 10,439.25

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Solution

The third proportional to 7,449 and 10,439.25 is: 14,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449 : 10,439.25 = 10,439.25 : x
  2. Step 2: Convert to fraction form
    7,449/10,439.25 = 10,439.25/x
  3. Step 3: Cross multiply
    7,449x = 10,439.25 × 10,439.25
  4. Step 4: Simplify right side
    7,449x = 108,977,940.56
  5. Step 5: Solve for x
    x = 108,977,940.56/7,449
  6. Step 6: Final answer
    x = 14,629.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.