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Finding the Third Proportional to 17,375.50 and 38,134

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Solution

The third proportional to 17,375.50 and 38,134 is: 83,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,375.50 : 38,134 = 38,134 : x
  2. Step 2: Convert to fraction form
    17,375.50/38,134 = 38,134/x
  3. Step 3: Cross multiply
    17,375.50x = 38,134 × 38,134
  4. Step 4: Simplify right side
    17,375.50x = 1,454,201,956
  5. Step 5: Solve for x
    x = 1,454,201,956/17,375.50
  6. Step 6: Final answer
    x = 83,692.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.