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Finding the Third Proportional to 9,667.69 and 21,203.44

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Solution

The third proportional to 9,667.69 and 21,203.44 is: 46,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.69 : 21,203.44 = 21,203.44 : x
  2. Step 2: Convert to fraction form
    9,667.69/21,203.44 = 21,203.44/x
  3. Step 3: Cross multiply
    9,667.69x = 21,203.44 × 21,203.44
  4. Step 4: Simplify right side
    9,667.69x = 449,585,761.82
  5. Step 5: Solve for x
    x = 449,585,761.82/9,667.69
  6. Step 6: Final answer
    x = 46,503.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.