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Finding the Third Proportional to 803.25 and 1,764.75

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Solution

The third proportional to 803.25 and 1,764.75 is: 3,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.25 : 1,764.75 = 1,764.75 : x
  2. Step 2: Convert to fraction form
    803.25/1,764.75 = 1,764.75/x
  3. Step 3: Cross multiply
    803.25x = 1,764.75 × 1,764.75
  4. Step 4: Simplify right side
    803.25x = 3,114,342.56
  5. Step 5: Solve for x
    x = 3,114,342.56/803.25
  6. Step 6: Final answer
    x = 3,877.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.