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Finding the Third Proportional to 19,077.75 and 29,185.88

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Solution

The third proportional to 19,077.75 and 29,185.88 is: 44,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077.75 : 29,185.88 = 29,185.88 : x
  2. Step 2: Convert to fraction form
    19,077.75/29,185.88 = 29,185.88/x
  3. Step 3: Cross multiply
    19,077.75x = 29,185.88 × 29,185.88
  4. Step 4: Simplify right side
    19,077.75x = 851,815,299.52
  5. Step 5: Solve for x
    x = 851,815,299.52/19,077.75
  6. Step 6: Final answer
    x = 44,649.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.