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Finding the Third Proportional to 13,278 and 19,809

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Solution

The third proportional to 13,278 and 19,809 is: 29,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278 : 19,809 = 19,809 : x
  2. Step 2: Convert to fraction form
    13,278/19,809 = 19,809/x
  3. Step 3: Cross multiply
    13,278x = 19,809 × 19,809
  4. Step 4: Simplify right side
    13,278x = 392,396,481
  5. Step 5: Solve for x
    x = 392,396,481/13,278
  6. Step 6: Final answer
    x = 29,552.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.