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Finding the Third Proportional to 850.82 and 1,576.34

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Solution

The third proportional to 850.82 and 1,576.34 is: 2,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.82 : 1,576.34 = 1,576.34 : x
  2. Step 2: Convert to fraction form
    850.82/1,576.34 = 1,576.34/x
  3. Step 3: Cross multiply
    850.82x = 1,576.34 × 1,576.34
  4. Step 4: Simplify right side
    850.82x = 2,484,834.99
  5. Step 5: Solve for x
    x = 2,484,834.99/850.82
  6. Step 6: Final answer
    x = 2,920.53

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.