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Finding the Third Proportional to 11,981 and 26,035

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Solution

The third proportional to 11,981 and 26,035 is: 56,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981 : 26,035 = 26,035 : x
  2. Step 2: Convert to fraction form
    11,981/26,035 = 26,035/x
  3. Step 3: Cross multiply
    11,981x = 26,035 × 26,035
  4. Step 4: Simplify right side
    11,981x = 677,821,225
  5. Step 5: Solve for x
    x = 677,821,225/11,981
  6. Step 6: Final answer
    x = 56,574.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.