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Finding the Third Proportional to 6,164 and 12,544

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Solution

The third proportional to 6,164 and 12,544 is: 25,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164 : 12,544 = 12,544 : x
  2. Step 2: Convert to fraction form
    6,164/12,544 = 12,544/x
  3. Step 3: Cross multiply
    6,164x = 12,544 × 12,544
  4. Step 4: Simplify right side
    6,164x = 157,351,936
  5. Step 5: Solve for x
    x = 157,351,936/6,164
  6. Step 6: Final answer
    x = 25,527.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.