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Finding the Third Proportional to 37,974.66 and 81,792.28

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Solution

The third proportional to 37,974.66 and 81,792.28 is: 176,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,974.66 : 81,792.28 = 81,792.28 : x
  2. Step 2: Convert to fraction form
    37,974.66/81,792.28 = 81,792.28/x
  3. Step 3: Cross multiply
    37,974.66x = 81,792.28 × 81,792.28
  4. Step 4: Simplify right side
    37,974.66x = 6,689,977,272.08
  5. Step 5: Solve for x
    x = 6,689,977,272.08/37,974.66
  6. Step 6: Final answer
    x = 176,169.53

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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.