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Finding the Third Proportional to 13,706.72 and 20,661.33

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Solution

The third proportional to 13,706.72 and 20,661.33 is: 31,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.72 : 20,661.33 = 20,661.33 : x
  2. Step 2: Convert to fraction form
    13,706.72/20,661.33 = 20,661.33/x
  3. Step 3: Cross multiply
    13,706.72x = 20,661.33 × 20,661.33
  4. Step 4: Simplify right side
    13,706.72x = 426,890,479.89
  5. Step 5: Solve for x
    x = 426,890,479.89/13,706.72
  6. Step 6: Final answer
    x = 31,144.62

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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.