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Finding the Third Proportional to 33,732 and 73,291.50

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Solution

The third proportional to 33,732 and 73,291.50 is: 159,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,732 : 73,291.50 = 73,291.50 : x
  2. Step 2: Convert to fraction form
    33,732/73,291.50 = 73,291.50/x
  3. Step 3: Cross multiply
    33,732x = 73,291.50 × 73,291.50
  4. Step 4: Simplify right side
    33,732x = 5,371,643,972.25
  5. Step 5: Solve for x
    x = 5,371,643,972.25/33,732
  6. Step 6: Final answer
    x = 159,244.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.