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Finding the Third Proportional to 33,243.75 and 71,428.50

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Solution

The third proportional to 33,243.75 and 71,428.50 is: 153,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243.75 : 71,428.50 = 71,428.50 : x
  2. Step 2: Convert to fraction form
    33,243.75/71,428.50 = 71,428.50/x
  3. Step 3: Cross multiply
    33,243.75x = 71,428.50 × 71,428.50
  4. Step 4: Simplify right side
    33,243.75x = 5,102,030,612.25
  5. Step 5: Solve for x
    x = 5,102,030,612.25/33,243.75
  6. Step 6: Final answer
    x = 153,473.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.