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Finding the Third Proportional to 37,147.36 and 55,896.96

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Solution

The third proportional to 37,147.36 and 55,896.96 is: 84,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147.36 : 55,896.96 = 55,896.96 : x
  2. Step 2: Convert to fraction form
    37,147.36/55,896.96 = 55,896.96/x
  3. Step 3: Cross multiply
    37,147.36x = 55,896.96 × 55,896.96
  4. Step 4: Simplify right side
    37,147.36x = 3,124,470,242.05
  5. Step 5: Solve for x
    x = 3,124,470,242.05/37,147.36
  6. Step 6: Final answer
    x = 84,110.16

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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.