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Finding the Third Proportional to 1,014.19 and 2,105.44

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Solution

The third proportional to 1,014.19 and 2,105.44 is: 4,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.19 : 2,105.44 = 2,105.44 : x
  2. Step 2: Convert to fraction form
    1,014.19/2,105.44 = 2,105.44/x
  3. Step 3: Cross multiply
    1,014.19x = 2,105.44 × 2,105.44
  4. Step 4: Simplify right side
    1,014.19x = 4,432,867.07
  5. Step 5: Solve for x
    x = 4,432,867.07/1,014.19
  6. Step 6: Final answer
    x = 4,370.86

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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.