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Finding the Third Proportional to 1,120.08 and 2,408.91

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Solution

The third proportional to 1,120.08 and 2,408.91 is: 5,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.08 : 2,408.91 = 2,408.91 : x
  2. Step 2: Convert to fraction form
    1,120.08/2,408.91 = 2,408.91/x
  3. Step 3: Cross multiply
    1,120.08x = 2,408.91 × 2,408.91
  4. Step 4: Simplify right side
    1,120.08x = 5,802,829.32
  5. Step 5: Solve for x
    x = 5,802,829.32/1,120.08
  6. Step 6: Final answer
    x = 5,180.74

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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.