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Finding the Third Proportional to 7,646 and 11,985

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Solution

The third proportional to 7,646 and 11,985 is: 18,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646 : 11,985 = 11,985 : x
  2. Step 2: Convert to fraction form
    7,646/11,985 = 11,985/x
  3. Step 3: Cross multiply
    7,646x = 11,985 × 11,985
  4. Step 4: Simplify right side
    7,646x = 143,640,225
  5. Step 5: Solve for x
    x = 143,640,225/7,646
  6. Step 6: Final answer
    x = 18,786.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.