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Finding the Third Proportional to 13,066 and 19,873

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Solution

The third proportional to 13,066 and 19,873 is: 30,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066 : 19,873 = 19,873 : x
  2. Step 2: Convert to fraction form
    13,066/19,873 = 19,873/x
  3. Step 3: Cross multiply
    13,066x = 19,873 × 19,873
  4. Step 4: Simplify right side
    13,066x = 394,936,129
  5. Step 5: Solve for x
    x = 394,936,129/13,066
  6. Step 6: Final answer
    x = 30,226.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.