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Finding the Third Proportional to 3,565.27 and 5,188.43

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Solution

The third proportional to 3,565.27 and 5,188.43 is: 7,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.27 : 5,188.43 = 5,188.43 : x
  2. Step 2: Convert to fraction form
    3,565.27/5,188.43 = 5,188.43/x
  3. Step 3: Cross multiply
    3,565.27x = 5,188.43 × 5,188.43
  4. Step 4: Simplify right side
    3,565.27x = 26,919,802.62
  5. Step 5: Solve for x
    x = 26,919,802.62/3,565.27
  6. Step 6: Final answer
    x = 7,550.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.