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Finding the Third Proportional to 15,586 and 33,764

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Solution

The third proportional to 15,586 and 33,764 is: 73,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586 : 33,764 = 33,764 : x
  2. Step 2: Convert to fraction form
    15,586/33,764 = 33,764/x
  3. Step 3: Cross multiply
    15,586x = 33,764 × 33,764
  4. Step 4: Simplify right side
    15,586x = 1,140,007,696
  5. Step 5: Solve for x
    x = 1,140,007,696/15,586
  6. Step 6: Final answer
    x = 73,143.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.