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Finding the Third Proportional to 10,908.13 and 16,453.31

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Solution

The third proportional to 10,908.13 and 16,453.31 is: 24,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.13 : 16,453.31 = 16,453.31 : x
  2. Step 2: Convert to fraction form
    10,908.13/16,453.31 = 16,453.31/x
  3. Step 3: Cross multiply
    10,908.13x = 16,453.31 × 16,453.31
  4. Step 4: Simplify right side
    10,908.13x = 270,711,492.22
  5. Step 5: Solve for x
    x = 270,711,492.22/10,908.13
  6. Step 6: Final answer
    x = 24,817.42

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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.