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Finding the Third Proportional to 2,067.40 and 5,561.47

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Solution

The third proportional to 2,067.40 and 5,561.47 is: 14,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.40 : 5,561.47 = 5,561.47 : x
  2. Step 2: Convert to fraction form
    2,067.40/5,561.47 = 5,561.47/x
  3. Step 3: Cross multiply
    2,067.40x = 5,561.47 × 5,561.47
  4. Step 4: Simplify right side
    2,067.40x = 30,929,978.11
  5. Step 5: Solve for x
    x = 30,929,978.11/2,067.40
  6. Step 6: Final answer
    x = 14,960.82

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.