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Finding the Third Proportional to 822.75 and 1,665.75

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Solution

The third proportional to 822.75 and 1,665.75 is: 3,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.75 : 1,665.75 = 1,665.75 : x
  2. Step 2: Convert to fraction form
    822.75/1,665.75 = 1,665.75/x
  3. Step 3: Cross multiply
    822.75x = 1,665.75 × 1,665.75
  4. Step 4: Simplify right side
    822.75x = 2,774,723.06
  5. Step 5: Solve for x
    x = 2,774,723.06/822.75
  6. Step 6: Final answer
    x = 3,372.50

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.