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Finding the Third Proportional to 36,237 and 77,833

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Solution

The third proportional to 36,237 and 77,833 is: 167,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,237 : 77,833 = 77,833 : x
  2. Step 2: Convert to fraction form
    36,237/77,833 = 77,833/x
  3. Step 3: Cross multiply
    36,237x = 77,833 × 77,833
  4. Step 4: Simplify right side
    36,237x = 6,057,975,889
  5. Step 5: Solve for x
    x = 6,057,975,889/36,237
  6. Step 6: Final answer
    x = 167,176.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.