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Finding the Third Proportional to 19,294.50 and 39,126

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Solution

The third proportional to 19,294.50 and 39,126 is: 79,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294.50 : 39,126 = 39,126 : x
  2. Step 2: Convert to fraction form
    19,294.50/39,126 = 39,126/x
  3. Step 3: Cross multiply
    19,294.50x = 39,126 × 39,126
  4. Step 4: Simplify right side
    19,294.50x = 1,530,843,876
  5. Step 5: Solve for x
    x = 1,530,843,876/19,294.50
  6. Step 6: Final answer
    x = 79,340.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.