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Finding the Third Proportional to 39,180.75 and 55,054.75

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Solution

The third proportional to 39,180.75 and 55,054.75 is: 77,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,180.75 : 55,054.75 = 55,054.75 : x
  2. Step 2: Convert to fraction form
    39,180.75/55,054.75 = 55,054.75/x
  3. Step 3: Cross multiply
    39,180.75x = 55,054.75 × 55,054.75
  4. Step 4: Simplify right side
    39,180.75x = 3,031,025,497.56
  5. Step 5: Solve for x
    x = 3,031,025,497.56/39,180.75
  6. Step 6: Final answer
    x = 77,360.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.