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Finding the Third Proportional to 11,996 and 26,138

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Solution

The third proportional to 11,996 and 26,138 is: 56,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996 : 26,138 = 26,138 : x
  2. Step 2: Convert to fraction form
    11,996/26,138 = 26,138/x
  3. Step 3: Cross multiply
    11,996x = 26,138 × 26,138
  4. Step 4: Simplify right side
    11,996x = 683,195,044
  5. Step 5: Solve for x
    x = 683,195,044/11,996
  6. Step 6: Final answer
    x = 56,951.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.