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Finding the Third Proportional to 37,994.85 and 82,678.85

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Solution

The third proportional to 37,994.85 and 82,678.85 is: 179,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,994.85 : 82,678.85 = 82,678.85 : x
  2. Step 2: Convert to fraction form
    37,994.85/82,678.85 = 82,678.85/x
  3. Step 3: Cross multiply
    37,994.85x = 82,678.85 × 82,678.85
  4. Step 4: Simplify right side
    37,994.85x = 6,835,792,495.69
  5. Step 5: Solve for x
    x = 6,835,792,495.69/37,994.85
  6. Step 6: Final answer
    x = 179,913.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.