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Finding the Third Proportional to 23,206 and 36,194

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Solution

The third proportional to 23,206 and 36,194 is: 56,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206 : 36,194 = 36,194 : x
  2. Step 2: Convert to fraction form
    23,206/36,194 = 36,194/x
  3. Step 3: Cross multiply
    23,206x = 36,194 × 36,194
  4. Step 4: Simplify right side
    23,206x = 1,310,005,636
  5. Step 5: Solve for x
    x = 1,310,005,636/23,206
  6. Step 6: Final answer
    x = 56,451.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.