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Finding the Third Proportional to 19,789.50 and 31,334.50

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Solution

The third proportional to 19,789.50 and 31,334.50 is: 49,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,789.50 : 31,334.50 = 31,334.50 : x
  2. Step 2: Convert to fraction form
    19,789.50/31,334.50 = 31,334.50/x
  3. Step 3: Cross multiply
    19,789.50x = 31,334.50 × 31,334.50
  4. Step 4: Simplify right side
    19,789.50x = 981,850,890.25
  5. Step 5: Solve for x
    x = 981,850,890.25/19,789.50
  6. Step 6: Final answer
    x = 49,614.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.