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Finding the Third Proportional to 33,518.25 and 70,924.50

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Solution

The third proportional to 33,518.25 and 70,924.50 is: 150,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,518.25 : 70,924.50 = 70,924.50 : x
  2. Step 2: Convert to fraction form
    33,518.25/70,924.50 = 70,924.50/x
  3. Step 3: Cross multiply
    33,518.25x = 70,924.50 × 70,924.50
  4. Step 4: Simplify right side
    33,518.25x = 5,030,284,700.25
  5. Step 5: Solve for x
    x = 5,030,284,700.25/33,518.25
  6. Step 6: Final answer
    x = 150,075.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.