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Finding the Third Proportional to 7,204 and 16,558

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Solution

The third proportional to 7,204 and 16,558 is: 38,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204 : 16,558 = 16,558 : x
  2. Step 2: Convert to fraction form
    7,204/16,558 = 16,558/x
  3. Step 3: Cross multiply
    7,204x = 16,558 × 16,558
  4. Step 4: Simplify right side
    7,204x = 274,167,364
  5. Step 5: Solve for x
    x = 274,167,364/7,204
  6. Step 6: Final answer
    x = 38,057.66

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.