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Finding the Third Proportional to 19,245 and 28,789.50

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Solution

The third proportional to 19,245 and 28,789.50 is: 43,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,245 : 28,789.50 = 28,789.50 : x
  2. Step 2: Convert to fraction form
    19,245/28,789.50 = 28,789.50/x
  3. Step 3: Cross multiply
    19,245x = 28,789.50 × 28,789.50
  4. Step 4: Simplify right side
    19,245x = 828,835,310.25
  5. Step 5: Solve for x
    x = 828,835,310.25/19,245
  6. Step 6: Final answer
    x = 43,067.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.