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Finding the Third Proportional to 34,645.50 and 80,829

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Solution

The third proportional to 34,645.50 and 80,829 is: 188,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,645.50 : 80,829 = 80,829 : x
  2. Step 2: Convert to fraction form
    34,645.50/80,829 = 80,829/x
  3. Step 3: Cross multiply
    34,645.50x = 80,829 × 80,829
  4. Step 4: Simplify right side
    34,645.50x = 6,533,327,241
  5. Step 5: Solve for x
    x = 6,533,327,241/34,645.50
  6. Step 6: Final answer
    x = 188,576.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.