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Finding the Third Proportional to 33,681.75 and 73,360.50

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Solution

The third proportional to 33,681.75 and 73,360.50 is: 159,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681.75 : 73,360.50 = 73,360.50 : x
  2. Step 2: Convert to fraction form
    33,681.75/73,360.50 = 73,360.50/x
  3. Step 3: Cross multiply
    33,681.75x = 73,360.50 × 73,360.50
  4. Step 4: Simplify right side
    33,681.75x = 5,381,762,960.25
  5. Step 5: Solve for x
    x = 5,381,762,960.25/33,681.75
  6. Step 6: Final answer
    x = 159,782.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.