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Finding the Third Proportional to 1,379.25 and 3,031.88

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Solution

The third proportional to 1,379.25 and 3,031.88 is: 6,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.25 : 3,031.88 = 3,031.88 : x
  2. Step 2: Convert to fraction form
    1,379.25/3,031.88 = 3,031.88/x
  3. Step 3: Cross multiply
    1,379.25x = 3,031.88 × 3,031.88
  4. Step 4: Simplify right side
    1,379.25x = 9,192,266.02
  5. Step 5: Solve for x
    x = 9,192,266.02/1,379.25
  6. Step 6: Final answer
    x = 6,664.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.