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Finding the Third Proportional to 10,069 and 16,399

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Solution

The third proportional to 10,069 and 16,399 is: 26,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 16,399 = 16,399 : x
  2. Step 2: Convert to fraction form
    10,069/16,399 = 16,399/x
  3. Step 3: Cross multiply
    10,069x = 16,399 × 16,399
  4. Step 4: Simplify right side
    10,069x = 268,927,201
  5. Step 5: Solve for x
    x = 268,927,201/10,069
  6. Step 6: Final answer
    x = 26,708.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.