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Finding the Third Proportional to 35,869 and 40,648

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Solution

The third proportional to 35,869 and 40,648 is: 46,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,869 : 40,648 = 40,648 : x
  2. Step 2: Convert to fraction form
    35,869/40,648 = 40,648/x
  3. Step 3: Cross multiply
    35,869x = 40,648 × 40,648
  4. Step 4: Simplify right side
    35,869x = 1,652,259,904
  5. Step 5: Solve for x
    x = 1,652,259,904/35,869
  6. Step 6: Final answer
    x = 46,063.73

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.