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Finding the Third Proportional to 1,753 and 4,067.50

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Solution

The third proportional to 1,753 and 4,067.50 is: 9,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753 : 4,067.50 = 4,067.50 : x
  2. Step 2: Convert to fraction form
    1,753/4,067.50 = 4,067.50/x
  3. Step 3: Cross multiply
    1,753x = 4,067.50 × 4,067.50
  4. Step 4: Simplify right side
    1,753x = 16,544,556.25
  5. Step 5: Solve for x
    x = 16,544,556.25/1,753
  6. Step 6: Final answer
    x = 9,437.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.