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Finding the Third Proportional to 36,573.50 and 78,697

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Solution

The third proportional to 36,573.50 and 78,697 is: 169,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,573.50 : 78,697 = 78,697 : x
  2. Step 2: Convert to fraction form
    36,573.50/78,697 = 78,697/x
  3. Step 3: Cross multiply
    36,573.50x = 78,697 × 78,697
  4. Step 4: Simplify right side
    36,573.50x = 6,193,217,809
  5. Step 5: Solve for x
    x = 6,193,217,809/36,573.50
  6. Step 6: Final answer
    x = 169,336.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.