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Finding the Third Proportional to 4,394.29 and 9,667.93

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Solution

The third proportional to 4,394.29 and 9,667.93 is: 21,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.29 : 9,667.93 = 9,667.93 : x
  2. Step 2: Convert to fraction form
    4,394.29/9,667.93 = 9,667.93/x
  3. Step 3: Cross multiply
    4,394.29x = 9,667.93 × 9,667.93
  4. Step 4: Simplify right side
    4,394.29x = 93,468,939.97
  5. Step 5: Solve for x
    x = 93,468,939.97/4,394.29
  6. Step 6: Final answer
    x = 21,270.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.