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Finding the Third Proportional to 8,025 and 16,962

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Solution

The third proportional to 8,025 and 16,962 is: 35,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025 : 16,962 = 16,962 : x
  2. Step 2: Convert to fraction form
    8,025/16,962 = 16,962/x
  3. Step 3: Cross multiply
    8,025x = 16,962 × 16,962
  4. Step 4: Simplify right side
    8,025x = 287,709,444
  5. Step 5: Solve for x
    x = 287,709,444/8,025
  6. Step 6: Final answer
    x = 35,851.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.