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Finding the Third Proportional to 15,586 and 33,815

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Solution

The third proportional to 15,586 and 33,815 is: 73,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586 : 33,815 = 33,815 : x
  2. Step 2: Convert to fraction form
    15,586/33,815 = 33,815/x
  3. Step 3: Cross multiply
    15,586x = 33,815 × 33,815
  4. Step 4: Simplify right side
    15,586x = 1,143,454,225
  5. Step 5: Solve for x
    x = 1,143,454,225/15,586
  6. Step 6: Final answer
    x = 73,364.19

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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.