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Finding the Third Proportional to 1,799.03 and 3,871.44

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Solution

The third proportional to 1,799.03 and 3,871.44 is: 8,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.03 : 3,871.44 = 3,871.44 : x
  2. Step 2: Convert to fraction form
    1,799.03/3,871.44 = 3,871.44/x
  3. Step 3: Cross multiply
    1,799.03x = 3,871.44 × 3,871.44
  4. Step 4: Simplify right side
    1,799.03x = 14,988,058.56
  5. Step 5: Solve for x
    x = 14,988,058.56/1,799.03
  6. Step 6: Final answer
    x = 8,331.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.