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Finding the Third Proportional to 37,801.69 and 55,669.78

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Solution

The third proportional to 37,801.69 and 55,669.78 is: 81,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,801.69 : 55,669.78 = 55,669.78 : x
  2. Step 2: Convert to fraction form
    37,801.69/55,669.78 = 55,669.78/x
  3. Step 3: Cross multiply
    37,801.69x = 55,669.78 × 55,669.78
  4. Step 4: Simplify right side
    37,801.69x = 3,099,124,544.42
  5. Step 5: Solve for x
    x = 3,099,124,544.42/37,801.69
  6. Step 6: Final answer
    x = 81,983.76

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