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Finding the Third Proportional to 33,401.50 and 46,699.75

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Solution

The third proportional to 33,401.50 and 46,699.75 is: 65,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401.50 : 46,699.75 = 46,699.75 : x
  2. Step 2: Convert to fraction form
    33,401.50/46,699.75 = 46,699.75/x
  3. Step 3: Cross multiply
    33,401.50x = 46,699.75 × 46,699.75
  4. Step 4: Simplify right side
    33,401.50x = 2,180,866,650.06
  5. Step 5: Solve for x
    x = 2,180,866,650.06/33,401.50
  6. Step 6: Final answer
    x = 65,292.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.