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Finding the Third Proportional to 8,064 and 17,096

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Solution

The third proportional to 8,064 and 17,096 is: 36,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064 : 17,096 = 17,096 : x
  2. Step 2: Convert to fraction form
    8,064/17,096 = 17,096/x
  3. Step 3: Cross multiply
    8,064x = 17,096 × 17,096
  4. Step 4: Simplify right side
    8,064x = 292,273,216
  5. Step 5: Solve for x
    x = 292,273,216/8,064
  6. Step 6: Final answer
    x = 36,244.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.