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Finding the Third Proportional to 20,892.75 and 31,516.50

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Solution

The third proportional to 20,892.75 and 31,516.50 is: 47,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.75 : 31,516.50 = 31,516.50 : x
  2. Step 2: Convert to fraction form
    20,892.75/31,516.50 = 31,516.50/x
  3. Step 3: Cross multiply
    20,892.75x = 31,516.50 × 31,516.50
  4. Step 4: Simplify right side
    20,892.75x = 993,289,772.25
  5. Step 5: Solve for x
    x = 993,289,772.25/20,892.75
  6. Step 6: Final answer
    x = 47,542.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.