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Finding the Third Proportional to 37,944.75 and 55,686.75

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Solution

The third proportional to 37,944.75 and 55,686.75 is: 81,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,944.75 : 55,686.75 = 55,686.75 : x
  2. Step 2: Convert to fraction form
    37,944.75/55,686.75 = 55,686.75/x
  3. Step 3: Cross multiply
    37,944.75x = 55,686.75 × 55,686.75
  4. Step 4: Simplify right side
    37,944.75x = 3,101,014,125.56
  5. Step 5: Solve for x
    x = 3,101,014,125.56/37,944.75
  6. Step 6: Final answer
    x = 81,724.46

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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.