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Finding the Third Proportional to 9,646 and 14,185

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Solution

The third proportional to 9,646 and 14,185 is: 20,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646 : 14,185 = 14,185 : x
  2. Step 2: Convert to fraction form
    9,646/14,185 = 14,185/x
  3. Step 3: Cross multiply
    9,646x = 14,185 × 14,185
  4. Step 4: Simplify right side
    9,646x = 201,214,225
  5. Step 5: Solve for x
    x = 201,214,225/9,646
  6. Step 6: Final answer
    x = 20,859.86

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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.