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Finding the Third Proportional to 5,069 and 10,381

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Solution

The third proportional to 5,069 and 10,381 is: 21,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069 : 10,381 = 10,381 : x
  2. Step 2: Convert to fraction form
    5,069/10,381 = 10,381/x
  3. Step 3: Cross multiply
    5,069x = 10,381 × 10,381
  4. Step 4: Simplify right side
    5,069x = 107,765,161
  5. Step 5: Solve for x
    x = 107,765,161/5,069
  6. Step 6: Final answer
    x = 21,259.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.