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Finding the Third Proportional to 3,426.75 and 4,447.13

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Solution

The third proportional to 3,426.75 and 4,447.13 is: 5,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.75 : 4,447.13 = 4,447.13 : x
  2. Step 2: Convert to fraction form
    3,426.75/4,447.13 = 4,447.13/x
  3. Step 3: Cross multiply
    3,426.75x = 4,447.13 × 4,447.13
  4. Step 4: Simplify right side
    3,426.75x = 19,776,920.77
  5. Step 5: Solve for x
    x = 19,776,920.77/3,426.75
  6. Step 6: Final answer
    x = 5,771.33

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.