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Finding the Third Proportional to 3,565.69 and 5,464.13

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Solution

The third proportional to 3,565.69 and 5,464.13 is: 8,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.69 : 5,464.13 = 5,464.13 : x
  2. Step 2: Convert to fraction form
    3,565.69/5,464.13 = 5,464.13/x
  3. Step 3: Cross multiply
    3,565.69x = 5,464.13 × 5,464.13
  4. Step 4: Simplify right side
    3,565.69x = 29,856,662.02
  5. Step 5: Solve for x
    x = 29,856,662.02/3,565.69
  6. Step 6: Final answer
    x = 8,373.33

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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.