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Finding the Third Proportional to 17,769 and 29,613

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Solution

The third proportional to 17,769 and 29,613 is: 49,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769 : 29,613 = 29,613 : x
  2. Step 2: Convert to fraction form
    17,769/29,613 = 29,613/x
  3. Step 3: Cross multiply
    17,769x = 29,613 × 29,613
  4. Step 4: Simplify right side
    17,769x = 876,929,769
  5. Step 5: Solve for x
    x = 876,929,769/17,769
  6. Step 6: Final answer
    x = 49,351.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.