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Finding the Third Proportional to 13,732.88 and 20,751.19

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Solution

The third proportional to 13,732.88 and 20,751.19 is: 31,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.88 : 20,751.19 = 20,751.19 : x
  2. Step 2: Convert to fraction form
    13,732.88/20,751.19 = 20,751.19/x
  3. Step 3: Cross multiply
    13,732.88x = 20,751.19 × 20,751.19
  4. Step 4: Simplify right side
    13,732.88x = 430,611,782.66
  5. Step 5: Solve for x
    x = 430,611,782.66/13,732.88
  6. Step 6: Final answer
    x = 31,356.27

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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.