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Finding the Third Proportional to 1,859.48 and 3,873.09

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Solution

The third proportional to 1,859.48 and 3,873.09 is: 8,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.48 : 3,873.09 = 3,873.09 : x
  2. Step 2: Convert to fraction form
    1,859.48/3,873.09 = 3,873.09/x
  3. Step 3: Cross multiply
    1,859.48x = 3,873.09 × 3,873.09
  4. Step 4: Simplify right side
    1,859.48x = 15,000,855.20
  5. Step 5: Solve for x
    x = 15,000,855.20/1,859.48
  6. Step 6: Final answer
    x = 8,067.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.