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Finding the Third Proportional to 37,856.06 and 55,140.94

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Solution

The third proportional to 37,856.06 and 55,140.94 is: 80,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,856.06 : 55,140.94 = 55,140.94 : x
  2. Step 2: Convert to fraction form
    37,856.06/55,140.94 = 55,140.94/x
  3. Step 3: Cross multiply
    37,856.06x = 55,140.94 × 55,140.94
  4. Step 4: Simplify right side
    37,856.06x = 3,040,522,988.38
  5. Step 5: Solve for x
    x = 3,040,522,988.38/37,856.06
  6. Step 6: Final answer
    x = 80,317.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.