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Finding the Third Proportional to 33,184.50 and 51,384

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Solution

The third proportional to 33,184.50 and 51,384 is: 79,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.50 : 51,384 = 51,384 : x
  2. Step 2: Convert to fraction form
    33,184.50/51,384 = 51,384/x
  3. Step 3: Cross multiply
    33,184.50x = 51,384 × 51,384
  4. Step 4: Simplify right side
    33,184.50x = 2,640,315,456
  5. Step 5: Solve for x
    x = 2,640,315,456/33,184.50
  6. Step 6: Final answer
    x = 79,564.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.