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Finding the Third Proportional to 8,224.50 and 17,745

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Solution

The third proportional to 8,224.50 and 17,745 is: 38,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.50 : 17,745 = 17,745 : x
  2. Step 2: Convert to fraction form
    8,224.50/17,745 = 17,745/x
  3. Step 3: Cross multiply
    8,224.50x = 17,745 × 17,745
  4. Step 4: Simplify right side
    8,224.50x = 314,885,025
  5. Step 5: Solve for x
    x = 314,885,025/8,224.50
  6. Step 6: Final answer
    x = 38,286.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.