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Finding the Third Proportional to 36,234.84 and 77,828.34

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Solution

The third proportional to 36,234.84 and 77,828.34 is: 167,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,234.84 : 77,828.34 = 77,828.34 : x
  2. Step 2: Convert to fraction form
    36,234.84/77,828.34 = 77,828.34/x
  3. Step 3: Cross multiply
    36,234.84x = 77,828.34 × 77,828.34
  4. Step 4: Simplify right side
    36,234.84x = 6,057,251,090.87
  5. Step 5: Solve for x
    x = 6,057,251,090.87/36,234.84
  6. Step 6: Final answer
    x = 167,166.47

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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.