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Finding the Third Proportional to 19,204 and 28,806

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Solution

The third proportional to 19,204 and 28,806 is: 43,209

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,204 : 28,806 = 28,806 : x
  2. Step 2: Convert to fraction form
    19,204/28,806 = 28,806/x
  3. Step 3: Cross multiply
    19,204x = 28,806 × 28,806
  4. Step 4: Simplify right side
    19,204x = 829,785,636
  5. Step 5: Solve for x
    x = 829,785,636/19,204
  6. Step 6: Final answer
    x = 43,209

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.