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Finding the Third Proportional to 6,196 and 12,232

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Solution

The third proportional to 6,196 and 12,232 is: 24,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196 : 12,232 = 12,232 : x
  2. Step 2: Convert to fraction form
    6,196/12,232 = 12,232/x
  3. Step 3: Cross multiply
    6,196x = 12,232 × 12,232
  4. Step 4: Simplify right side
    6,196x = 149,621,824
  5. Step 5: Solve for x
    x = 149,621,824/6,196
  6. Step 6: Final answer
    x = 24,148.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.