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Finding the Third Proportional to 33,354 and 46,911

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Solution

The third proportional to 33,354 and 46,911 is: 65,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,354 : 46,911 = 46,911 : x
  2. Step 2: Convert to fraction form
    33,354/46,911 = 46,911/x
  3. Step 3: Cross multiply
    33,354x = 46,911 × 46,911
  4. Step 4: Simplify right side
    33,354x = 2,200,641,921
  5. Step 5: Solve for x
    x = 2,200,641,921/33,354
  6. Step 6: Final answer
    x = 65,978.35

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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.