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Finding the Third Proportional to 872.75 and 1,835.25

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Solution

The third proportional to 872.75 and 1,835.25 is: 3,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.75 : 1,835.25 = 1,835.25 : x
  2. Step 2: Convert to fraction form
    872.75/1,835.25 = 1,835.25/x
  3. Step 3: Cross multiply
    872.75x = 1,835.25 × 1,835.25
  4. Step 4: Simplify right side
    872.75x = 3,368,142.56
  5. Step 5: Solve for x
    x = 3,368,142.56/872.75
  6. Step 6: Final answer
    x = 3,859.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.