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Finding the Third Proportional to 30,910.50 and 37,611

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Solution

The third proportional to 30,910.50 and 37,611 is: 45,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910.50 : 37,611 = 37,611 : x
  2. Step 2: Convert to fraction form
    30,910.50/37,611 = 37,611/x
  3. Step 3: Cross multiply
    30,910.50x = 37,611 × 37,611
  4. Step 4: Simplify right side
    30,910.50x = 1,414,587,321
  5. Step 5: Solve for x
    x = 1,414,587,321/30,910.50
  6. Step 6: Final answer
    x = 45,763.97

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.