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Finding the Third Proportional to 33,652.50 and 49,825.50

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Solution

The third proportional to 33,652.50 and 49,825.50 is: 73,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.50 : 49,825.50 = 49,825.50 : x
  2. Step 2: Convert to fraction form
    33,652.50/49,825.50 = 49,825.50/x
  3. Step 3: Cross multiply
    33,652.50x = 49,825.50 × 49,825.50
  4. Step 4: Simplify right side
    33,652.50x = 2,482,580,450.25
  5. Step 5: Solve for x
    x = 2,482,580,450.25/33,652.50
  6. Step 6: Final answer
    x = 73,771.06

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.