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Finding the Third Proportional to 36,969 and 81,834

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Solution

The third proportional to 36,969 and 81,834 is: 181,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,969 : 81,834 = 81,834 : x
  2. Step 2: Convert to fraction form
    36,969/81,834 = 81,834/x
  3. Step 3: Cross multiply
    36,969x = 81,834 × 81,834
  4. Step 4: Simplify right side
    36,969x = 6,696,803,556
  5. Step 5: Solve for x
    x = 6,696,803,556/36,969
  6. Step 6: Final answer
    x = 181,146.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.