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Finding the Third Proportional to 1,613 and 3,552

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Solution

The third proportional to 1,613 and 3,552 is: 7,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613 : 3,552 = 3,552 : x
  2. Step 2: Convert to fraction form
    1,613/3,552 = 3,552/x
  3. Step 3: Cross multiply
    1,613x = 3,552 × 3,552
  4. Step 4: Simplify right side
    1,613x = 12,616,704
  5. Step 5: Solve for x
    x = 12,616,704/1,613
  6. Step 6: Final answer
    x = 7,821.89

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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.