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Finding the Third Proportional to 17,639.44 and 37,706.34

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Solution

The third proportional to 17,639.44 and 37,706.34 is: 80,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.44 : 37,706.34 = 37,706.34 : x
  2. Step 2: Convert to fraction form
    17,639.44/37,706.34 = 37,706.34/x
  3. Step 3: Cross multiply
    17,639.44x = 37,706.34 × 37,706.34
  4. Step 4: Simplify right side
    17,639.44x = 1,421,768,358.99
  5. Step 5: Solve for x
    x = 1,421,768,358.99/17,639.44
  6. Step 6: Final answer
    x = 80,601.68

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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.