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Finding the Third Proportional to 6,094 and 8,307

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Solution

The third proportional to 6,094 and 8,307 is: 11,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094 : 8,307 = 8,307 : x
  2. Step 2: Convert to fraction form
    6,094/8,307 = 8,307/x
  3. Step 3: Cross multiply
    6,094x = 8,307 × 8,307
  4. Step 4: Simplify right side
    6,094x = 69,006,249
  5. Step 5: Solve for x
    x = 69,006,249/6,094
  6. Step 6: Final answer
    x = 11,323.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.