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Finding the Third Proportional to 804.75 and 1,682.06

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Solution

The third proportional to 804.75 and 1,682.06 is: 3,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.75 : 1,682.06 = 1,682.06 : x
  2. Step 2: Convert to fraction form
    804.75/1,682.06 = 1,682.06/x
  3. Step 3: Cross multiply
    804.75x = 1,682.06 × 1,682.06
  4. Step 4: Simplify right side
    804.75x = 2,829,334.25
  5. Step 5: Solve for x
    x = 2,829,334.25/804.75
  6. Step 6: Final answer
    x = 3,515.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.