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Finding the Third Proportional to 8,165 and 11,964

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Solution

The third proportional to 8,165 and 11,964 is: 17,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165 : 11,964 = 11,964 : x
  2. Step 2: Convert to fraction form
    8,165/11,964 = 11,964/x
  3. Step 3: Cross multiply
    8,165x = 11,964 × 11,964
  4. Step 4: Simplify right side
    8,165x = 143,137,296
  5. Step 5: Solve for x
    x = 143,137,296/8,165
  6. Step 6: Final answer
    x = 17,530.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.