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Finding the Third Proportional to 5,849.16 and 9,163.69

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Solution

The third proportional to 5,849.16 and 9,163.69 is: 14,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.16 : 9,163.69 = 9,163.69 : x
  2. Step 2: Convert to fraction form
    5,849.16/9,163.69 = 9,163.69/x
  3. Step 3: Cross multiply
    5,849.16x = 9,163.69 × 9,163.69
  4. Step 4: Simplify right side
    5,849.16x = 83,973,168.60
  5. Step 5: Solve for x
    x = 83,973,168.60/5,849.16
  6. Step 6: Final answer
    x = 14,356.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.