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Finding the Third Proportional to 4,525.03 and 7,231.78

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Solution

The third proportional to 4,525.03 and 7,231.78 is: 11,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525.03 : 7,231.78 = 7,231.78 : x
  2. Step 2: Convert to fraction form
    4,525.03/7,231.78 = 7,231.78/x
  3. Step 3: Cross multiply
    4,525.03x = 7,231.78 × 7,231.78
  4. Step 4: Simplify right side
    4,525.03x = 52,298,660.05
  5. Step 5: Solve for x
    x = 52,298,660.05/4,525.03
  6. Step 6: Final answer
    x = 11,557.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.