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Finding the Third Proportional to 13,989.38 and 21,120.75

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Solution

The third proportional to 13,989.38 and 21,120.75 is: 31,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.38 : 21,120.75 = 21,120.75 : x
  2. Step 2: Convert to fraction form
    13,989.38/21,120.75 = 21,120.75/x
  3. Step 3: Cross multiply
    13,989.38x = 21,120.75 × 21,120.75
  4. Step 4: Simplify right side
    13,989.38x = 446,086,080.56
  5. Step 5: Solve for x
    x = 446,086,080.56/13,989.38
  6. Step 6: Final answer
    x = 31,887.49

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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.