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Finding the Third Proportional to 7,646 and 12,165

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Solution

The third proportional to 7,646 and 12,165 is: 19,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646 : 12,165 = 12,165 : x
  2. Step 2: Convert to fraction form
    7,646/12,165 = 12,165/x
  3. Step 3: Cross multiply
    7,646x = 12,165 × 12,165
  4. Step 4: Simplify right side
    7,646x = 147,987,225
  5. Step 5: Solve for x
    x = 147,987,225/7,646
  6. Step 6: Final answer
    x = 19,354.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.