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Finding the Third Proportional to 38,003.50 and 87,969

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Solution

The third proportional to 38,003.50 and 87,969 is: 203,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003.50 : 87,969 = 87,969 : x
  2. Step 2: Convert to fraction form
    38,003.50/87,969 = 87,969/x
  3. Step 3: Cross multiply
    38,003.50x = 87,969 × 87,969
  4. Step 4: Simplify right side
    38,003.50x = 7,738,544,961
  5. Step 5: Solve for x
    x = 7,738,544,961/38,003.50
  6. Step 6: Final answer
    x = 203,627.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.