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Finding the Third Proportional to 6,022.69 and 7,359.19

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Solution

The third proportional to 6,022.69 and 7,359.19 is: 8,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.69 : 7,359.19 = 7,359.19 : x
  2. Step 2: Convert to fraction form
    6,022.69/7,359.19 = 7,359.19/x
  3. Step 3: Cross multiply
    6,022.69x = 7,359.19 × 7,359.19
  4. Step 4: Simplify right side
    6,022.69x = 54,157,640.66
  5. Step 5: Solve for x
    x = 54,157,640.66/6,022.69
  6. Step 6: Final answer
    x = 8,992.27

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.