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Finding the Third Proportional to 33,975 and 72,076.50

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Solution

The third proportional to 33,975 and 72,076.50 is: 152,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,975 : 72,076.50 = 72,076.50 : x
  2. Step 2: Convert to fraction form
    33,975/72,076.50 = 72,076.50/x
  3. Step 3: Cross multiply
    33,975x = 72,076.50 × 72,076.50
  4. Step 4: Simplify right side
    33,975x = 5,195,021,852.25
  5. Step 5: Solve for x
    x = 5,195,021,852.25/33,975
  6. Step 6: Final answer
    x = 152,907.19

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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.