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Finding the Third Proportional to 1,648 and 3,353

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Solution

The third proportional to 1,648 and 3,353 is: 6,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 3,353 = 3,353 : x
  2. Step 2: Convert to fraction form
    1,648/3,353 = 3,353/x
  3. Step 3: Cross multiply
    1,648x = 3,353 × 3,353
  4. Step 4: Simplify right side
    1,648x = 11,242,609
  5. Step 5: Solve for x
    x = 11,242,609/1,648
  6. Step 6: Final answer
    x = 6,821.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.