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Finding the Third Proportional to 36,783.09 and 55,174.63

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Solution

The third proportional to 36,783.09 and 55,174.63 is: 82,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,783.09 : 55,174.63 = 55,174.63 : x
  2. Step 2: Convert to fraction form
    36,783.09/55,174.63 = 55,174.63/x
  3. Step 3: Cross multiply
    36,783.09x = 55,174.63 × 55,174.63
  4. Step 4: Simplify right side
    36,783.09x = 3,044,239,816.38
  5. Step 5: Solve for x
    x = 3,044,239,816.38/36,783.09
  6. Step 6: Final answer
    x = 82,761.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.