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Finding the Third Proportional to 4,321.69 and 9,433.13

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Solution

The third proportional to 4,321.69 and 9,433.13 is: 20,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.69 : 9,433.13 = 9,433.13 : x
  2. Step 2: Convert to fraction form
    4,321.69/9,433.13 = 9,433.13/x
  3. Step 3: Cross multiply
    4,321.69x = 9,433.13 × 9,433.13
  4. Step 4: Simplify right side
    4,321.69x = 88,983,847.27
  5. Step 5: Solve for x
    x = 88,983,847.27/4,321.69
  6. Step 6: Final answer
    x = 20,590.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.