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Finding the Third Proportional to 10,400 and 16,102

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Solution

The third proportional to 10,400 and 16,102 is: 24,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400 : 16,102 = 16,102 : x
  2. Step 2: Convert to fraction form
    10,400/16,102 = 16,102/x
  3. Step 3: Cross multiply
    10,400x = 16,102 × 16,102
  4. Step 4: Simplify right side
    10,400x = 259,274,404
  5. Step 5: Solve for x
    x = 259,274,404/10,400
  6. Step 6: Final answer
    x = 24,930.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.