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Finding the Third Proportional to 17,086 and 19,606

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Solution

The third proportional to 17,086 and 19,606 is: 22,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086 : 19,606 = 19,606 : x
  2. Step 2: Convert to fraction form
    17,086/19,606 = 19,606/x
  3. Step 3: Cross multiply
    17,086x = 19,606 × 19,606
  4. Step 4: Simplify right side
    17,086x = 384,395,236
  5. Step 5: Solve for x
    x = 384,395,236/17,086
  6. Step 6: Final answer
    x = 22,497.67

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.