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Finding the Third Proportional to 9,236 and 12,208

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Solution

The third proportional to 9,236 and 12,208 is: 16,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236 : 12,208 = 12,208 : x
  2. Step 2: Convert to fraction form
    9,236/12,208 = 12,208/x
  3. Step 3: Cross multiply
    9,236x = 12,208 × 12,208
  4. Step 4: Simplify right side
    9,236x = 149,035,264
  5. Step 5: Solve for x
    x = 149,035,264/9,236
  6. Step 6: Final answer
    x = 16,136.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.