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Finding the Third Proportional to 33,651 and 51,880.50

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Solution

The third proportional to 33,651 and 51,880.50 is: 79,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,651 : 51,880.50 = 51,880.50 : x
  2. Step 2: Convert to fraction form
    33,651/51,880.50 = 51,880.50/x
  3. Step 3: Cross multiply
    33,651x = 51,880.50 × 51,880.50
  4. Step 4: Simplify right side
    33,651x = 2,691,586,280.25
  5. Step 5: Solve for x
    x = 2,691,586,280.25/33,651
  6. Step 6: Final answer
    x = 79,985.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.