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Finding the Third Proportional to 37,576 and 55,245

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Solution

The third proportional to 37,576 and 55,245 is: 81,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,576 : 55,245 = 55,245 : x
  2. Step 2: Convert to fraction form
    37,576/55,245 = 55,245/x
  3. Step 3: Cross multiply
    37,576x = 55,245 × 55,245
  4. Step 4: Simplify right side
    37,576x = 3,052,010,025
  5. Step 5: Solve for x
    x = 3,052,010,025/37,576
  6. Step 6: Final answer
    x = 81,222.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.