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Finding the Third Proportional to 7,202.25 and 10,523.25

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Solution

The third proportional to 7,202.25 and 10,523.25 is: 15,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.25 : 10,523.25 = 10,523.25 : x
  2. Step 2: Convert to fraction form
    7,202.25/10,523.25 = 10,523.25/x
  3. Step 3: Cross multiply
    7,202.25x = 10,523.25 × 10,523.25
  4. Step 4: Simplify right side
    7,202.25x = 110,738,790.56
  5. Step 5: Solve for x
    x = 110,738,790.56/7,202.25
  6. Step 6: Final answer
    x = 15,375.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.