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Finding the Third Proportional to 4,525.31 and 5,163.19

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Solution

The third proportional to 4,525.31 and 5,163.19 is: 5,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525.31 : 5,163.19 = 5,163.19 : x
  2. Step 2: Convert to fraction form
    4,525.31/5,163.19 = 5,163.19/x
  3. Step 3: Cross multiply
    4,525.31x = 5,163.19 × 5,163.19
  4. Step 4: Simplify right side
    4,525.31x = 26,658,505.16
  5. Step 5: Solve for x
    x = 26,658,505.16/4,525.31
  6. Step 6: Final answer
    x = 5,890.98

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.