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Finding the Third Proportional to 37,580.50 and 55,250

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Solution

The third proportional to 37,580.50 and 55,250 is: 81,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.50 : 55,250 = 55,250 : x
  2. Step 2: Convert to fraction form
    37,580.50/55,250 = 55,250/x
  3. Step 3: Cross multiply
    37,580.50x = 55,250 × 55,250
  4. Step 4: Simplify right side
    37,580.50x = 3,052,562,500
  5. Step 5: Solve for x
    x = 3,052,562,500/37,580.50
  6. Step 6: Final answer
    x = 81,227.30

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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.