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Finding the Third Proportional to 6,096 and 13,013

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Solution

The third proportional to 6,096 and 13,013 is: 27,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096 : 13,013 = 13,013 : x
  2. Step 2: Convert to fraction form
    6,096/13,013 = 13,013/x
  3. Step 3: Cross multiply
    6,096x = 13,013 × 13,013
  4. Step 4: Simplify right side
    6,096x = 169,338,169
  5. Step 5: Solve for x
    x = 169,338,169/6,096
  6. Step 6: Final answer
    x = 27,778.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.