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Finding the Third Proportional to 19,208 and 25,773

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Solution

The third proportional to 19,208 and 25,773 is: 34,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208 : 25,773 = 25,773 : x
  2. Step 2: Convert to fraction form
    19,208/25,773 = 25,773/x
  3. Step 3: Cross multiply
    19,208x = 25,773 × 25,773
  4. Step 4: Simplify right side
    19,208x = 664,247,529
  5. Step 5: Solve for x
    x = 664,247,529/19,208
  6. Step 6: Final answer
    x = 34,581.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.