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Finding the Third Proportional to 20,147 and 28,321.50

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Solution

The third proportional to 20,147 and 28,321.50 is: 39,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147 : 28,321.50 = 28,321.50 : x
  2. Step 2: Convert to fraction form
    20,147/28,321.50 = 28,321.50/x
  3. Step 3: Cross multiply
    20,147x = 28,321.50 × 28,321.50
  4. Step 4: Simplify right side
    20,147x = 802,107,362.25
  5. Step 5: Solve for x
    x = 802,107,362.25/20,147
  6. Step 6: Final answer
    x = 39,812.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.