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Finding the Third Proportional to 9,196 and 11,946

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Solution

The third proportional to 9,196 and 11,946 is: 15,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196 : 11,946 = 11,946 : x
  2. Step 2: Convert to fraction form
    9,196/11,946 = 11,946/x
  3. Step 3: Cross multiply
    9,196x = 11,946 × 11,946
  4. Step 4: Simplify right side
    9,196x = 142,706,916
  5. Step 5: Solve for x
    x = 142,706,916/9,196
  6. Step 6: Final answer
    x = 15,518.37

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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.