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Finding the Third Proportional to 10,289 and 13,941

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Solution

The third proportional to 10,289 and 13,941 is: 18,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 13,941 = 13,941 : x
  2. Step 2: Convert to fraction form
    10,289/13,941 = 13,941/x
  3. Step 3: Cross multiply
    10,289x = 13,941 × 13,941
  4. Step 4: Simplify right side
    10,289x = 194,351,481
  5. Step 5: Solve for x
    x = 194,351,481/10,289
  6. Step 6: Final answer
    x = 18,889.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.