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Finding the Third Proportional to 16,586 and 36,190

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Solution

The third proportional to 16,586 and 36,190 is: 78,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586 : 36,190 = 36,190 : x
  2. Step 2: Convert to fraction form
    16,586/36,190 = 36,190/x
  3. Step 3: Cross multiply
    16,586x = 36,190 × 36,190
  4. Step 4: Simplify right side
    16,586x = 1,309,716,100
  5. Step 5: Solve for x
    x = 1,309,716,100/16,586
  6. Step 6: Final answer
    x = 78,965.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.