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Finding the Third Proportional to 38,003.63 and 87,969.38

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Solution

The third proportional to 38,003.63 and 87,969.38 is: 203,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003.63 : 87,969.38 = 87,969.38 : x
  2. Step 2: Convert to fraction form
    38,003.63/87,969.38 = 87,969.38/x
  3. Step 3: Cross multiply
    38,003.63x = 87,969.38 × 87,969.38
  4. Step 4: Simplify right side
    38,003.63x = 7,738,610,937.89
  5. Step 5: Solve for x
    x = 7,738,610,937.89/38,003.63
  6. Step 6: Final answer
    x = 203,628.23

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