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Finding the Third Proportional to 5,077.69 and 9,201.09

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Solution

The third proportional to 5,077.69 and 9,201.09 is: 16,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.69 : 9,201.09 = 9,201.09 : x
  2. Step 2: Convert to fraction form
    5,077.69/9,201.09 = 9,201.09/x
  3. Step 3: Cross multiply
    5,077.69x = 9,201.09 × 9,201.09
  4. Step 4: Simplify right side
    5,077.69x = 84,660,126.20
  5. Step 5: Solve for x
    x = 84,660,126.20/5,077.69
  6. Step 6: Final answer
    x = 16,672.97

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.