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Finding the Third Proportional to 37,593 and 81,062

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Solution

The third proportional to 37,593 and 81,062 is: 174,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,593 : 81,062 = 81,062 : x
  2. Step 2: Convert to fraction form
    37,593/81,062 = 81,062/x
  3. Step 3: Cross multiply
    37,593x = 81,062 × 81,062
  4. Step 4: Simplify right side
    37,593x = 6,571,047,844
  5. Step 5: Solve for x
    x = 6,571,047,844/37,593
  6. Step 6: Final answer
    x = 174,794.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.