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Finding the Third Proportional to 4,351.22 and 9,636.47

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Solution

The third proportional to 4,351.22 and 9,636.47 is: 21,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351.22 : 9,636.47 = 9,636.47 : x
  2. Step 2: Convert to fraction form
    4,351.22/9,636.47 = 9,636.47/x
  3. Step 3: Cross multiply
    4,351.22x = 9,636.47 × 9,636.47
  4. Step 4: Simplify right side
    4,351.22x = 92,861,529.97
  5. Step 5: Solve for x
    x = 92,861,529.97/4,351.22
  6. Step 6: Final answer
    x = 21,341.50

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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.