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Finding the Third Proportional to 20,012.06 and 31,391.72

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Solution

The third proportional to 20,012.06 and 31,391.72 is: 49,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012.06 : 31,391.72 = 31,391.72 : x
  2. Step 2: Convert to fraction form
    20,012.06/31,391.72 = 31,391.72/x
  3. Step 3: Cross multiply
    20,012.06x = 31,391.72 × 31,391.72
  4. Step 4: Simplify right side
    20,012.06x = 985,440,006.08
  5. Step 5: Solve for x
    x = 985,440,006.08/20,012.06
  6. Step 6: Final answer
    x = 49,242.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.