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Finding the Third Proportional to 792.56 and 1,682.44

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Solution

The third proportional to 792.56 and 1,682.44 is: 3,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.56 : 1,682.44 = 1,682.44 : x
  2. Step 2: Convert to fraction form
    792.56/1,682.44 = 1,682.44/x
  3. Step 3: Cross multiply
    792.56x = 1,682.44 × 1,682.44
  4. Step 4: Simplify right side
    792.56x = 2,830,595.94
  5. Step 5: Solve for x
    x = 2,830,595.94/792.56
  6. Step 6: Final answer
    x = 3,571.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.