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Finding the Third Proportional to 26,440 and 35,891

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Solution

The third proportional to 26,440 and 35,891 is: 48,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,440 : 35,891 = 35,891 : x
  2. Step 2: Convert to fraction form
    26,440/35,891 = 35,891/x
  3. Step 3: Cross multiply
    26,440x = 35,891 × 35,891
  4. Step 4: Simplify right side
    26,440x = 1,288,163,881
  5. Step 5: Solve for x
    x = 1,288,163,881/26,440
  6. Step 6: Final answer
    x = 48,720.27

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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.