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Finding the Third Proportional to 3,565.69 and 5,458.22

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Solution

The third proportional to 3,565.69 and 5,458.22 is: 8,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.69 : 5,458.22 = 5,458.22 : x
  2. Step 2: Convert to fraction form
    3,565.69/5,458.22 = 5,458.22/x
  3. Step 3: Cross multiply
    3,565.69x = 5,458.22 × 5,458.22
  4. Step 4: Simplify right side
    3,565.69x = 29,792,151.92
  5. Step 5: Solve for x
    x = 29,792,151.92/3,565.69
  6. Step 6: Final answer
    x = 8,355.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.