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Finding the Third Proportional to 37,012.68 and 55,271.85

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Solution

The third proportional to 37,012.68 and 55,271.85 is: 82,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,012.68 : 55,271.85 = 55,271.85 : x
  2. Step 2: Convert to fraction form
    37,012.68/55,271.85 = 55,271.85/x
  3. Step 3: Cross multiply
    37,012.68x = 55,271.85 × 55,271.85
  4. Step 4: Simplify right side
    37,012.68x = 3,054,977,143.34
  5. Step 5: Solve for x
    x = 3,054,977,143.34/37,012.68
  6. Step 6: Final answer
    x = 82,538.67

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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.