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Finding the Third Proportional to 3,667.75 and 7,920.13

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Solution

The third proportional to 3,667.75 and 7,920.13 is: 17,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.75 : 7,920.13 = 7,920.13 : x
  2. Step 2: Convert to fraction form
    3,667.75/7,920.13 = 7,920.13/x
  3. Step 3: Cross multiply
    3,667.75x = 7,920.13 × 7,920.13
  4. Step 4: Simplify right side
    3,667.75x = 62,728,380.02
  5. Step 5: Solve for x
    x = 62,728,380.02/3,667.75
  6. Step 6: Final answer
    x = 17,102.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.