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Finding the Third Proportional to 1,202.34 and 1,793.39

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Solution

The third proportional to 1,202.34 and 1,793.39 is: 2,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.34 : 1,793.39 = 1,793.39 : x
  2. Step 2: Convert to fraction form
    1,202.34/1,793.39 = 1,793.39/x
  3. Step 3: Cross multiply
    1,202.34x = 1,793.39 × 1,793.39
  4. Step 4: Simplify right side
    1,202.34x = 3,216,249.93
  5. Step 5: Solve for x
    x = 3,216,249.93/1,202.34
  6. Step 6: Final answer
    x = 2,674.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.