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Finding the Third Proportional to 26,444 and 35,896

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Solution

The third proportional to 26,444 and 35,896 is: 48,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,444 : 35,896 = 35,896 : x
  2. Step 2: Convert to fraction form
    26,444/35,896 = 35,896/x
  3. Step 3: Cross multiply
    26,444x = 35,896 × 35,896
  4. Step 4: Simplify right side
    26,444x = 1,288,522,816
  5. Step 5: Solve for x
    x = 1,288,522,816/26,444
  6. Step 6: Final answer
    x = 48,726.47

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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.