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Finding the Third Proportional to 30,996 and 43,668

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Solution

The third proportional to 30,996 and 43,668 is: 61,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 43,668 = 43,668 : x
  2. Step 2: Convert to fraction form
    30,996/43,668 = 43,668/x
  3. Step 3: Cross multiply
    30,996x = 43,668 × 43,668
  4. Step 4: Simplify right side
    30,996x = 1,906,894,224
  5. Step 5: Solve for x
    x = 1,906,894,224/30,996
  6. Step 6: Final answer
    x = 61,520.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.