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Finding the Third Proportional to 4,672.69 and 7,813.97

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Solution

The third proportional to 4,672.69 and 7,813.97 is: 13,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.69 : 7,813.97 = 7,813.97 : x
  2. Step 2: Convert to fraction form
    4,672.69/7,813.97 = 7,813.97/x
  3. Step 3: Cross multiply
    4,672.69x = 7,813.97 × 7,813.97
  4. Step 4: Simplify right side
    4,672.69x = 61,058,107.63
  5. Step 5: Solve for x
    x = 61,058,107.63/4,672.69
  6. Step 6: Final answer
    x = 13,067.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.