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Finding the Third Proportional to 36,834 and 79,554

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Solution

The third proportional to 36,834 and 79,554 is: 171,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,834 : 79,554 = 79,554 : x
  2. Step 2: Convert to fraction form
    36,834/79,554 = 79,554/x
  3. Step 3: Cross multiply
    36,834x = 79,554 × 79,554
  4. Step 4: Simplify right side
    36,834x = 6,328,838,916
  5. Step 5: Solve for x
    x = 6,328,838,916/36,834
  6. Step 6: Final answer
    x = 171,820.57

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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.