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Finding the Third Proportional to 13,198 and 19,076

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Solution

The third proportional to 13,198 and 19,076 is: 27,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198 : 19,076 = 19,076 : x
  2. Step 2: Convert to fraction form
    13,198/19,076 = 19,076/x
  3. Step 3: Cross multiply
    13,198x = 19,076 × 19,076
  4. Step 4: Simplify right side
    13,198x = 363,893,776
  5. Step 5: Solve for x
    x = 363,893,776/13,198
  6. Step 6: Final answer
    x = 27,571.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.