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Finding the Third Proportional to 789.05 and 1,674.14

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Solution

The third proportional to 789.05 and 1,674.14 is: 3,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.05 : 1,674.14 = 1,674.14 : x
  2. Step 2: Convert to fraction form
    789.05/1,674.14 = 1,674.14/x
  3. Step 3: Cross multiply
    789.05x = 1,674.14 × 1,674.14
  4. Step 4: Simplify right side
    789.05x = 2,802,746.83
  5. Step 5: Solve for x
    x = 2,802,746.83/789.05
  6. Step 6: Final answer
    x = 3,552.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.