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Finding the Third Proportional to 33,491.25 and 72,240.50

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Solution

The third proportional to 33,491.25 and 72,240.50 is: 155,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,491.25 : 72,240.50 = 72,240.50 : x
  2. Step 2: Convert to fraction form
    33,491.25/72,240.50 = 72,240.50/x
  3. Step 3: Cross multiply
    33,491.25x = 72,240.50 × 72,240.50
  4. Step 4: Simplify right side
    33,491.25x = 5,218,689,840.25
  5. Step 5: Solve for x
    x = 5,218,689,840.25/33,491.25
  6. Step 6: Final answer
    x = 155,822.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.