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Finding the Third Proportional to 33,626.75 and 73,784

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Solution

The third proportional to 33,626.75 and 73,784 is: 161,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,626.75 : 73,784 = 73,784 : x
  2. Step 2: Convert to fraction form
    33,626.75/73,784 = 73,784/x
  3. Step 3: Cross multiply
    33,626.75x = 73,784 × 73,784
  4. Step 4: Simplify right side
    33,626.75x = 5,444,078,656
  5. Step 5: Solve for x
    x = 5,444,078,656/33,626.75
  6. Step 6: Final answer
    x = 161,897.26

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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.