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Finding the Third Proportional to 9,766.69 and 21,241.69

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Solution

The third proportional to 9,766.69 and 21,241.69 is: 46,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.69 : 21,241.69 = 21,241.69 : x
  2. Step 2: Convert to fraction form
    9,766.69/21,241.69 = 21,241.69/x
  3. Step 3: Cross multiply
    9,766.69x = 21,241.69 × 21,241.69
  4. Step 4: Simplify right side
    9,766.69x = 451,209,287.85
  5. Step 5: Solve for x
    x = 451,209,287.85/9,766.69
  6. Step 6: Final answer
    x = 46,198.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.