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Finding the Third Proportional to 13,683.09 and 20,800.69

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Solution

The third proportional to 13,683.09 and 20,800.69 is: 31,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.09 : 20,800.69 = 20,800.69 : x
  2. Step 2: Convert to fraction form
    13,683.09/20,800.69 = 20,800.69/x
  3. Step 3: Cross multiply
    13,683.09x = 20,800.69 × 20,800.69
  4. Step 4: Simplify right side
    13,683.09x = 432,668,600.47
  5. Step 5: Solve for x
    x = 432,668,600.47/13,683.09
  6. Step 6: Final answer
    x = 31,620.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.