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Finding the Third Proportional to 19,233 and 39,262.50

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Solution

The third proportional to 19,233 and 39,262.50 is: 80,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,233 : 39,262.50 = 39,262.50 : x
  2. Step 2: Convert to fraction form
    19,233/39,262.50 = 39,262.50/x
  3. Step 3: Cross multiply
    19,233x = 39,262.50 × 39,262.50
  4. Step 4: Simplify right side
    19,233x = 1,541,543,906.25
  5. Step 5: Solve for x
    x = 1,541,543,906.25/19,233
  6. Step 6: Final answer
    x = 80,150.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.