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Finding the Third Proportional to 17,861.06 and 38,182.50

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Solution

The third proportional to 17,861.06 and 38,182.50 is: 81,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861.06 : 38,182.50 = 38,182.50 : x
  2. Step 2: Convert to fraction form
    17,861.06/38,182.50 = 38,182.50/x
  3. Step 3: Cross multiply
    17,861.06x = 38,182.50 × 38,182.50
  4. Step 4: Simplify right side
    17,861.06x = 1,457,903,306.25
  5. Step 5: Solve for x
    x = 1,457,903,306.25/17,861.06
  6. Step 6: Final answer
    x = 81,624.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.