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Finding the Third Proportional to 37,455.75 and 81,062.44

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Solution

The third proportional to 37,455.75 and 81,062.44 is: 175,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,455.75 : 81,062.44 = 81,062.44 : x
  2. Step 2: Convert to fraction form
    37,455.75/81,062.44 = 81,062.44/x
  3. Step 3: Cross multiply
    37,455.75x = 81,062.44 × 81,062.44
  4. Step 4: Simplify right side
    37,455.75x = 6,571,118,773.44
  5. Step 5: Solve for x
    x = 6,571,118,773.44/37,455.75
  6. Step 6: Final answer
    x = 175,436.85

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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.