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Finding the Third Proportional to 37,365.75 and 55,517.06

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Solution

The third proportional to 37,365.75 and 55,517.06 is: 82,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,365.75 : 55,517.06 = 55,517.06 : x
  2. Step 2: Convert to fraction form
    37,365.75/55,517.06 = 55,517.06/x
  3. Step 3: Cross multiply
    37,365.75x = 55,517.06 × 55,517.06
  4. Step 4: Simplify right side
    37,365.75x = 3,082,144,228.63
  5. Step 5: Solve for x
    x = 3,082,144,228.63/37,365.75
  6. Step 6: Final answer
    x = 82,485.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.