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Finding the Third Proportional to 23,591 and 36,206

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Solution

The third proportional to 23,591 and 36,206 is: 55,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,591 : 36,206 = 36,206 : x
  2. Step 2: Convert to fraction form
    23,591/36,206 = 36,206/x
  3. Step 3: Cross multiply
    23,591x = 36,206 × 36,206
  4. Step 4: Simplify right side
    23,591x = 1,310,874,436
  5. Step 5: Solve for x
    x = 1,310,874,436/23,591
  6. Step 6: Final answer
    x = 55,566.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.