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Finding the Third Proportional to 6,094 and 7,893

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Solution

The third proportional to 6,094 and 7,893 is: 10,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094 : 7,893 = 7,893 : x
  2. Step 2: Convert to fraction form
    6,094/7,893 = 7,893/x
  3. Step 3: Cross multiply
    6,094x = 7,893 × 7,893
  4. Step 4: Simplify right side
    6,094x = 62,299,449
  5. Step 5: Solve for x
    x = 62,299,449/6,094
  6. Step 6: Final answer
    x = 10,223.08

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.