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Finding the Third Proportional to 19,306.50 and 30,831

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Solution

The third proportional to 19,306.50 and 30,831 is: 49,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306.50 : 30,831 = 30,831 : x
  2. Step 2: Convert to fraction form
    19,306.50/30,831 = 30,831/x
  3. Step 3: Cross multiply
    19,306.50x = 30,831 × 30,831
  4. Step 4: Simplify right side
    19,306.50x = 950,550,561
  5. Step 5: Solve for x
    x = 950,550,561/19,306.50
  6. Step 6: Final answer
    x = 49,234.74

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.