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Finding the Third Proportional to 33,313.50 and 70,942.50

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Solution

The third proportional to 33,313.50 and 70,942.50 is: 151,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,313.50 : 70,942.50 = 70,942.50 : x
  2. Step 2: Convert to fraction form
    33,313.50/70,942.50 = 70,942.50/x
  3. Step 3: Cross multiply
    33,313.50x = 70,942.50 × 70,942.50
  4. Step 4: Simplify right side
    33,313.50x = 5,032,838,306.25
  5. Step 5: Solve for x
    x = 5,032,838,306.25/33,313.50
  6. Step 6: Final answer
    x = 151,075.04

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.