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Finding the Third Proportional to 36,824 and 78,856

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Solution

The third proportional to 36,824 and 78,856 is: 168,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,824 : 78,856 = 78,856 : x
  2. Step 2: Convert to fraction form
    36,824/78,856 = 78,856/x
  3. Step 3: Cross multiply
    36,824x = 78,856 × 78,856
  4. Step 4: Simplify right side
    36,824x = 6,218,268,736
  5. Step 5: Solve for x
    x = 6,218,268,736/36,824
  6. Step 6: Final answer
    x = 168,864.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.