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Finding the Third Proportional to 33,692.63 and 73,362.38

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Solution

The third proportional to 33,692.63 and 73,362.38 is: 159,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,692.63 : 73,362.38 = 73,362.38 : x
  2. Step 2: Convert to fraction form
    33,692.63/73,362.38 = 73,362.38/x
  3. Step 3: Cross multiply
    33,692.63x = 73,362.38 × 73,362.38
  4. Step 4: Simplify right side
    33,692.63x = 5,382,038,065.64
  5. Step 5: Solve for x
    x = 5,382,038,065.64/33,692.63
  6. Step 6: Final answer
    x = 159,739.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.