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Finding the Third Proportional to 14,380.88 and 31,453.31

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Solution

The third proportional to 14,380.88 and 31,453.31 is: 68,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.88 : 31,453.31 = 31,453.31 : x
  2. Step 2: Convert to fraction form
    14,380.88/31,453.31 = 31,453.31/x
  3. Step 3: Cross multiply
    14,380.88x = 31,453.31 × 31,453.31
  4. Step 4: Simplify right side
    14,380.88x = 989,310,867.22
  5. Step 5: Solve for x
    x = 989,310,867.22/14,380.88
  6. Step 6: Final answer
    x = 68,793.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.