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Finding the Third Proportional to 1,112.34 and 2,393.44

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Solution

The third proportional to 1,112.34 and 2,393.44 is: 5,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.34 : 2,393.44 = 2,393.44 : x
  2. Step 2: Convert to fraction form
    1,112.34/2,393.44 = 2,393.44/x
  3. Step 3: Cross multiply
    1,112.34x = 2,393.44 × 2,393.44
  4. Step 4: Simplify right side
    1,112.34x = 5,728,543.07
  5. Step 5: Solve for x
    x = 5,728,543.07/1,112.34
  6. Step 6: Final answer
    x = 5,149.98

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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.