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Finding the Third Proportional to 13,251.75 and 20,492.25

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Solution

The third proportional to 13,251.75 and 20,492.25 is: 31,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.75 : 20,492.25 = 20,492.25 : x
  2. Step 2: Convert to fraction form
    13,251.75/20,492.25 = 20,492.25/x
  3. Step 3: Cross multiply
    13,251.75x = 20,492.25 × 20,492.25
  4. Step 4: Simplify right side
    13,251.75x = 419,932,310.06
  5. Step 5: Solve for x
    x = 419,932,310.06/13,251.75
  6. Step 6: Final answer
    x = 31,688.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.