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Finding the Third Proportional to 1,120.06 and 2,434.44

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Solution

The third proportional to 1,120.06 and 2,434.44 is: 5,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.06 : 2,434.44 = 2,434.44 : x
  2. Step 2: Convert to fraction form
    1,120.06/2,434.44 = 2,434.44/x
  3. Step 3: Cross multiply
    1,120.06x = 2,434.44 × 2,434.44
  4. Step 4: Simplify right side
    1,120.06x = 5,926,485.94
  5. Step 5: Solve for x
    x = 5,926,485.94/1,120.06
  6. Step 6: Final answer
    x = 5,291.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.