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Finding the Third Proportional to 26,869 and 35,287

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Solution

The third proportional to 26,869 and 35,287 is: 46,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,869 : 35,287 = 35,287 : x
  2. Step 2: Convert to fraction form
    26,869/35,287 = 35,287/x
  3. Step 3: Cross multiply
    26,869x = 35,287 × 35,287
  4. Step 4: Simplify right side
    26,869x = 1,245,172,369
  5. Step 5: Solve for x
    x = 1,245,172,369/26,869
  6. Step 6: Final answer
    x = 46,342.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.