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Finding the Third Proportional to 30,922 and 44,668

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Solution

The third proportional to 30,922 and 44,668 is: 64,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922 : 44,668 = 44,668 : x
  2. Step 2: Convert to fraction form
    30,922/44,668 = 44,668/x
  3. Step 3: Cross multiply
    30,922x = 44,668 × 44,668
  4. Step 4: Simplify right side
    30,922x = 1,995,230,224
  5. Step 5: Solve for x
    x = 1,995,230,224/30,922
  6. Step 6: Final answer
    x = 64,524.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.