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Finding the Third Proportional to 8,176 and 17,024

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Solution

The third proportional to 8,176 and 17,024 is: 35,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176 : 17,024 = 17,024 : x
  2. Step 2: Convert to fraction form
    8,176/17,024 = 17,024/x
  3. Step 3: Cross multiply
    8,176x = 17,024 × 17,024
  4. Step 4: Simplify right side
    8,176x = 289,816,576
  5. Step 5: Solve for x
    x = 289,816,576/8,176
  6. Step 6: Final answer
    x = 35,447.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.