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Finding the Third Proportional to 36,817 and 79,515

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Solution

The third proportional to 36,817 and 79,515 is: 171,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,817 : 79,515 = 79,515 : x
  2. Step 2: Convert to fraction form
    36,817/79,515 = 79,515/x
  3. Step 3: Cross multiply
    36,817x = 79,515 × 79,515
  4. Step 4: Simplify right side
    36,817x = 6,322,635,225
  5. Step 5: Solve for x
    x = 6,322,635,225/36,817
  6. Step 6: Final answer
    x = 171,731.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.