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Finding the Third Proportional to 4,523.25 and 7,179.56

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Solution

The third proportional to 4,523.25 and 7,179.56 is: 11,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.25 : 7,179.56 = 7,179.56 : x
  2. Step 2: Convert to fraction form
    4,523.25/7,179.56 = 7,179.56/x
  3. Step 3: Cross multiply
    4,523.25x = 7,179.56 × 7,179.56
  4. Step 4: Simplify right side
    4,523.25x = 51,546,117.69
  5. Step 5: Solve for x
    x = 51,546,117.69/4,523.25
  6. Step 6: Final answer
    x = 11,395.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.