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Finding the Third Proportional to 16,576 and 36,302

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Solution

The third proportional to 16,576 and 36,302 is: 79,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576 : 36,302 = 36,302 : x
  2. Step 2: Convert to fraction form
    16,576/36,302 = 36,302/x
  3. Step 3: Cross multiply
    16,576x = 36,302 × 36,302
  4. Step 4: Simplify right side
    16,576x = 1,317,835,204
  5. Step 5: Solve for x
    x = 1,317,835,204/16,576
  6. Step 6: Final answer
    x = 79,502.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.