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Finding the Third Proportional to 812.25 and 1,966.50

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Solution

The third proportional to 812.25 and 1,966.50 is: 4,761

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 1,966.50 = 1,966.50 : x
  2. Step 2: Convert to fraction form
    812.25/1,966.50 = 1,966.50/x
  3. Step 3: Cross multiply
    812.25x = 1,966.50 × 1,966.50
  4. Step 4: Simplify right side
    812.25x = 3,867,122.25
  5. Step 5: Solve for x
    x = 3,867,122.25/812.25
  6. Step 6: Final answer
    x = 4,761

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.