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Finding the Third Proportional to 33,421.50 and 80,455.50

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Solution

The third proportional to 33,421.50 and 80,455.50 is: 193,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,421.50 : 80,455.50 = 80,455.50 : x
  2. Step 2: Convert to fraction form
    33,421.50/80,455.50 = 80,455.50/x
  3. Step 3: Cross multiply
    33,421.50x = 80,455.50 × 80,455.50
  4. Step 4: Simplify right side
    33,421.50x = 6,473,087,480.25
  5. Step 5: Solve for x
    x = 6,473,087,480.25/33,421.50
  6. Step 6: Final answer
    x = 193,680.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.