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Finding the Third Proportional to 33,350 and 46,905

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Solution

The third proportional to 33,350 and 46,905 is: 65,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,350 : 46,905 = 46,905 : x
  2. Step 2: Convert to fraction form
    33,350/46,905 = 46,905/x
  3. Step 3: Cross multiply
    33,350x = 46,905 × 46,905
  4. Step 4: Simplify right side
    33,350x = 2,200,079,025
  5. Step 5: Solve for x
    x = 2,200,079,025/33,350
  6. Step 6: Final answer
    x = 65,969.39

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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.