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Finding the Third Proportional to 23,166 and 37,302

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Solution

The third proportional to 23,166 and 37,302 is: 60,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166 : 37,302 = 37,302 : x
  2. Step 2: Convert to fraction form
    23,166/37,302 = 37,302/x
  3. Step 3: Cross multiply
    23,166x = 37,302 × 37,302
  4. Step 4: Simplify right side
    23,166x = 1,391,439,204
  5. Step 5: Solve for x
    x = 1,391,439,204/23,166
  6. Step 6: Final answer
    x = 60,063.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.