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Finding the Third Proportional to 803.25 and 1,768.50

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Solution

The third proportional to 803.25 and 1,768.50 is: 3,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.25 : 1,768.50 = 1,768.50 : x
  2. Step 2: Convert to fraction form
    803.25/1,768.50 = 1,768.50/x
  3. Step 3: Cross multiply
    803.25x = 1,768.50 × 1,768.50
  4. Step 4: Simplify right side
    803.25x = 3,127,592.25
  5. Step 5: Solve for x
    x = 3,127,592.25/803.25
  6. Step 6: Final answer
    x = 3,893.67

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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.