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Finding the Third Proportional to 37,955.25 and 55,701

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Solution

The third proportional to 37,955.25 and 55,701 is: 81,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,955.25 : 55,701 = 55,701 : x
  2. Step 2: Convert to fraction form
    37,955.25/55,701 = 55,701/x
  3. Step 3: Cross multiply
    37,955.25x = 55,701 × 55,701
  4. Step 4: Simplify right side
    37,955.25x = 3,102,601,401
  5. Step 5: Solve for x
    x = 3,102,601,401/37,955.25
  6. Step 6: Final answer
    x = 81,743.67

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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.