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Finding the Third Proportional to 4,321.69 and 9,552.09

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Solution

The third proportional to 4,321.69 and 9,552.09 is: 21,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.69 : 9,552.09 = 9,552.09 : x
  2. Step 2: Convert to fraction form
    4,321.69/9,552.09 = 9,552.09/x
  3. Step 3: Cross multiply
    4,321.69x = 9,552.09 × 9,552.09
  4. Step 4: Simplify right side
    4,321.69x = 91,242,495.01
  5. Step 5: Solve for x
    x = 91,242,495.01/4,321.69
  6. Step 6: Final answer
    x = 21,112.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.