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Finding the Third Proportional to 33,374 and 46,942

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Solution

The third proportional to 33,374 and 46,942 is: 66,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,374 : 46,942 = 46,942 : x
  2. Step 2: Convert to fraction form
    33,374/46,942 = 46,942/x
  3. Step 3: Cross multiply
    33,374x = 46,942 × 46,942
  4. Step 4: Simplify right side
    33,374x = 2,203,551,364
  5. Step 5: Solve for x
    x = 2,203,551,364/33,374
  6. Step 6: Final answer
    x = 66,025.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.