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Finding the Third Proportional to 33,414.75 and 70,069.50

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Solution

The third proportional to 33,414.75 and 70,069.50 is: 146,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414.75 : 70,069.50 = 70,069.50 : x
  2. Step 2: Convert to fraction form
    33,414.75/70,069.50 = 70,069.50/x
  3. Step 3: Cross multiply
    33,414.75x = 70,069.50 × 70,069.50
  4. Step 4: Simplify right side
    33,414.75x = 4,909,734,830.25
  5. Step 5: Solve for x
    x = 4,909,734,830.25/33,414.75
  6. Step 6: Final answer
    x = 146,933.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.