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Finding the Third Proportional to 37,851.05 and 82,046.67

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Solution

The third proportional to 37,851.05 and 82,046.67 is: 177,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851.05 : 82,046.67 = 82,046.67 : x
  2. Step 2: Convert to fraction form
    37,851.05/82,046.67 = 82,046.67/x
  3. Step 3: Cross multiply
    37,851.05x = 82,046.67 × 82,046.67
  4. Step 4: Simplify right side
    37,851.05x = 6,731,656,365.76
  5. Step 5: Solve for x
    x = 6,731,656,365.76/37,851.05
  6. Step 6: Final answer
    x = 177,845.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.