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Finding the Third Proportional to 3,565.69 and 8,245.97

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Solution

The third proportional to 3,565.69 and 8,245.97 is: 19,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.69 : 8,245.97 = 8,245.97 : x
  2. Step 2: Convert to fraction form
    3,565.69/8,245.97 = 8,245.97/x
  3. Step 3: Cross multiply
    3,565.69x = 8,245.97 × 8,245.97
  4. Step 4: Simplify right side
    3,565.69x = 67,996,000.63
  5. Step 5: Solve for x
    x = 67,996,000.63/3,565.69
  6. Step 6: Final answer
    x = 19,069.53

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.