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Finding the Third Proportional to 789.75 and 1,806.05

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Solution

The third proportional to 789.75 and 1,806.05 is: 4,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.75 : 1,806.05 = 1,806.05 : x
  2. Step 2: Convert to fraction form
    789.75/1,806.05 = 1,806.05/x
  3. Step 3: Cross multiply
    789.75x = 1,806.05 × 1,806.05
  4. Step 4: Simplify right side
    789.75x = 3,261,805.31
  5. Step 5: Solve for x
    x = 3,261,805.31/789.75
  6. Step 6: Final answer
    x = 4,130.17

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.