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Finding the Third Proportional to 19,077 and 29,184.75

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Solution

The third proportional to 19,077 and 29,184.75 is: 44,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077 : 29,184.75 = 29,184.75 : x
  2. Step 2: Convert to fraction form
    19,077/29,184.75 = 29,184.75/x
  3. Step 3: Cross multiply
    19,077x = 29,184.75 × 29,184.75
  4. Step 4: Simplify right side
    19,077x = 851,749,632.56
  5. Step 5: Solve for x
    x = 851,749,632.56/19,077
  6. Step 6: Final answer
    x = 44,647.99

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Why These Related Problems?

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