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Finding the Third Proportional to 868.96 and 1,795.39

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Solution

The third proportional to 868.96 and 1,795.39 is: 3,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.96 : 1,795.39 = 1,795.39 : x
  2. Step 2: Convert to fraction form
    868.96/1,795.39 = 1,795.39/x
  3. Step 3: Cross multiply
    868.96x = 1,795.39 × 1,795.39
  4. Step 4: Simplify right side
    868.96x = 3,223,441.52
  5. Step 5: Solve for x
    x = 3,223,441.52/868.96
  6. Step 6: Final answer
    x = 3,709.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.