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Finding the Third Proportional to 33,243.75 and 71,047.13

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Solution

The third proportional to 33,243.75 and 71,047.13 is: 151,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243.75 : 71,047.13 = 71,047.13 : x
  2. Step 2: Convert to fraction form
    33,243.75/71,047.13 = 71,047.13/x
  3. Step 3: Cross multiply
    33,243.75x = 71,047.13 × 71,047.13
  4. Step 4: Simplify right side
    33,243.75x = 5,047,693,970.77
  5. Step 5: Solve for x
    x = 5,047,693,970.77/33,243.75
  6. Step 6: Final answer
    x = 151,838.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.