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Finding the Third Proportional to 33,626.25 and 73,783

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Solution

The third proportional to 33,626.25 and 73,783 is: 161,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,626.25 : 73,783 = 73,783 : x
  2. Step 2: Convert to fraction form
    33,626.25/73,783 = 73,783/x
  3. Step 3: Cross multiply
    33,626.25x = 73,783 × 73,783
  4. Step 4: Simplify right side
    33,626.25x = 5,443,931,089
  5. Step 5: Solve for x
    x = 5,443,931,089/33,626.25
  6. Step 6: Final answer
    x = 161,895.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.