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Finding the Third Proportional to 12,161 and 26,185

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Solution

The third proportional to 12,161 and 26,185 is: 56,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161 : 26,185 = 26,185 : x
  2. Step 2: Convert to fraction form
    12,161/26,185 = 26,185/x
  3. Step 3: Cross multiply
    12,161x = 26,185 × 26,185
  4. Step 4: Simplify right side
    12,161x = 685,654,225
  5. Step 5: Solve for x
    x = 685,654,225/12,161
  6. Step 6: Final answer
    x = 56,381.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.