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Finding the Third Proportional to 3,163.22 and 4,642.03

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Solution

The third proportional to 3,163.22 and 4,642.03 is: 6,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.22 : 4,642.03 = 4,642.03 : x
  2. Step 2: Convert to fraction form
    3,163.22/4,642.03 = 4,642.03/x
  3. Step 3: Cross multiply
    3,163.22x = 4,642.03 × 4,642.03
  4. Step 4: Simplify right side
    3,163.22x = 21,548,454.13
  5. Step 5: Solve for x
    x = 21,548,454.13/3,163.22
  6. Step 6: Final answer
    x = 6,812.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.