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Finding the Third Proportional to 43,627.50 and 96,093

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Solution

The third proportional to 43,627.50 and 96,093 is: 211,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,627.50 : 96,093 = 96,093 : x
  2. Step 2: Convert to fraction form
    43,627.50/96,093 = 96,093/x
  3. Step 3: Cross multiply
    43,627.50x = 96,093 × 96,093
  4. Step 4: Simplify right side
    43,627.50x = 9,233,864,649
  5. Step 5: Solve for x
    x = 9,233,864,649/43,627.50
  6. Step 6: Final answer
    x = 211,652.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.