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Finding the Third Proportional to 3,565.69 and 8,295.75

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Solution

The third proportional to 3,565.69 and 8,295.75 is: 19,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.69 : 8,295.75 = 8,295.75 : x
  2. Step 2: Convert to fraction form
    3,565.69/8,295.75 = 8,295.75/x
  3. Step 3: Cross multiply
    3,565.69x = 8,295.75 × 8,295.75
  4. Step 4: Simplify right side
    3,565.69x = 68,819,468.06
  5. Step 5: Solve for x
    x = 68,819,468.06/3,565.69
  6. Step 6: Final answer
    x = 19,300.48

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.