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Finding the Third Proportional to 16,224 and 34,544

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Solution

The third proportional to 16,224 and 34,544 is: 73,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224 : 34,544 = 34,544 : x
  2. Step 2: Convert to fraction form
    16,224/34,544 = 34,544/x
  3. Step 3: Cross multiply
    16,224x = 34,544 × 34,544
  4. Step 4: Simplify right side
    16,224x = 1,193,287,936
  5. Step 5: Solve for x
    x = 1,193,287,936/16,224
  6. Step 6: Final answer
    x = 73,550.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.