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Finding the Third Proportional to 4,591.69 and 9,784.97

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Solution

The third proportional to 4,591.69 and 9,784.97 is: 20,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.69 : 9,784.97 = 9,784.97 : x
  2. Step 2: Convert to fraction form
    4,591.69/9,784.97 = 9,784.97/x
  3. Step 3: Cross multiply
    4,591.69x = 9,784.97 × 9,784.97
  4. Step 4: Simplify right side
    4,591.69x = 95,745,613.44
  5. Step 5: Solve for x
    x = 95,745,613.44/4,591.69
  6. Step 6: Final answer
    x = 20,851.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.