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Finding the Third Proportional to 11,961 and 16,236

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Solution

The third proportional to 11,961 and 16,236 is: 22,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961 : 16,236 = 16,236 : x
  2. Step 2: Convert to fraction form
    11,961/16,236 = 16,236/x
  3. Step 3: Cross multiply
    11,961x = 16,236 × 16,236
  4. Step 4: Simplify right side
    11,961x = 263,607,696
  5. Step 5: Solve for x
    x = 263,607,696/11,961
  6. Step 6: Final answer
    x = 22,038.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.