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Finding the Third Proportional to 3,566.69 and 8,630.53

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Solution

The third proportional to 3,566.69 and 8,630.53 is: 20,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.69 : 8,630.53 = 8,630.53 : x
  2. Step 2: Convert to fraction form
    3,566.69/8,630.53 = 8,630.53/x
  3. Step 3: Cross multiply
    3,566.69x = 8,630.53 × 8,630.53
  4. Step 4: Simplify right side
    3,566.69x = 74,486,120.23
  5. Step 5: Solve for x
    x = 74,486,120.23/3,566.69
  6. Step 6: Final answer
    x = 20,883.83

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.