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Finding the Third Proportional to 35,914.50 and 49,081.50

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Solution

The third proportional to 35,914.50 and 49,081.50 is: 67,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,914.50 : 49,081.50 = 49,081.50 : x
  2. Step 2: Convert to fraction form
    35,914.50/49,081.50 = 49,081.50/x
  3. Step 3: Cross multiply
    35,914.50x = 49,081.50 × 49,081.50
  4. Step 4: Simplify right side
    35,914.50x = 2,408,993,642.25
  5. Step 5: Solve for x
    x = 2,408,993,642.25/35,914.50
  6. Step 6: Final answer
    x = 67,075.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.