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Finding the Third Proportional to 8,196 and 12,094

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Solution

The third proportional to 8,196 and 12,094 is: 17,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196 : 12,094 = 12,094 : x
  2. Step 2: Convert to fraction form
    8,196/12,094 = 12,094/x
  3. Step 3: Cross multiply
    8,196x = 12,094 × 12,094
  4. Step 4: Simplify right side
    8,196x = 146,264,836
  5. Step 5: Solve for x
    x = 146,264,836/8,196
  6. Step 6: Final answer
    x = 17,845.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.