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Finding the Third Proportional to 37,823 and 79,516

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Solution

The third proportional to 37,823 and 79,516 is: 167,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,823 : 79,516 = 79,516 : x
  2. Step 2: Convert to fraction form
    37,823/79,516 = 79,516/x
  3. Step 3: Cross multiply
    37,823x = 79,516 × 79,516
  4. Step 4: Simplify right side
    37,823x = 6,322,794,256
  5. Step 5: Solve for x
    x = 6,322,794,256/37,823
  6. Step 6: Final answer
    x = 167,167.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.