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Finding the Third Proportional to 19,123 and 27,542.50

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Solution

The third proportional to 19,123 and 27,542.50 is: 39,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,123 : 27,542.50 = 27,542.50 : x
  2. Step 2: Convert to fraction form
    19,123/27,542.50 = 27,542.50/x
  3. Step 3: Cross multiply
    19,123x = 27,542.50 × 27,542.50
  4. Step 4: Simplify right side
    19,123x = 758,589,306.25
  5. Step 5: Solve for x
    x = 758,589,306.25/19,123
  6. Step 6: Final answer
    x = 39,668.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.