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Finding the Third Proportional to 20,272.50 and 43,647

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Solution

The third proportional to 20,272.50 and 43,647 is: 93,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.50 : 43,647 = 43,647 : x
  2. Step 2: Convert to fraction form
    20,272.50/43,647 = 43,647/x
  3. Step 3: Cross multiply
    20,272.50x = 43,647 × 43,647
  4. Step 4: Simplify right side
    20,272.50x = 1,905,060,609
  5. Step 5: Solve for x
    x = 1,905,060,609/20,272.50
  6. Step 6: Final answer
    x = 93,972.65

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Why These Related Problems?

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