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Finding the Third Proportional to 37,811 and 55,623

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Solution

The third proportional to 37,811 and 55,623 is: 81,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,811 : 55,623 = 55,623 : x
  2. Step 2: Convert to fraction form
    37,811/55,623 = 55,623/x
  3. Step 3: Cross multiply
    37,811x = 55,623 × 55,623
  4. Step 4: Simplify right side
    37,811x = 3,093,918,129
  5. Step 5: Solve for x
    x = 3,093,918,129/37,811
  6. Step 6: Final answer
    x = 81,825.87

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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.