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Finding the Third Proportional to 38,824 and 82,736

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Solution

The third proportional to 38,824 and 82,736 is: 176,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,824 : 82,736 = 82,736 : x
  2. Step 2: Convert to fraction form
    38,824/82,736 = 82,736/x
  3. Step 3: Cross multiply
    38,824x = 82,736 × 82,736
  4. Step 4: Simplify right side
    38,824x = 6,845,245,696
  5. Step 5: Solve for x
    x = 6,845,245,696/38,824
  6. Step 6: Final answer
    x = 176,314.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.