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Finding the Third Proportional to 20,102.63 and 38,382.75

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Solution

The third proportional to 20,102.63 and 38,382.75 is: 73,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.63 : 38,382.75 = 38,382.75 : x
  2. Step 2: Convert to fraction form
    20,102.63/38,382.75 = 38,382.75/x
  3. Step 3: Cross multiply
    20,102.63x = 38,382.75 × 38,382.75
  4. Step 4: Simplify right side
    20,102.63x = 1,473,235,497.56
  5. Step 5: Solve for x
    x = 1,473,235,497.56/20,102.63
  6. Step 6: Final answer
    x = 73,285.73

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.