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Finding the Third Proportional to 37,943.63 and 55,685.25

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Solution

The third proportional to 37,943.63 and 55,685.25 is: 81,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,943.63 : 55,685.25 = 55,685.25 : x
  2. Step 2: Convert to fraction form
    37,943.63/55,685.25 = 55,685.25/x
  3. Step 3: Cross multiply
    37,943.63x = 55,685.25 × 55,685.25
  4. Step 4: Simplify right side
    37,943.63x = 3,100,847,067.56
  5. Step 5: Solve for x
    x = 3,100,847,067.56/37,943.63
  6. Step 6: Final answer
    x = 81,722.48

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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.