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Finding the Third Proportional to 6,824.25 and 14,946.75

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Solution

The third proportional to 6,824.25 and 14,946.75 is: 32,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.25 : 14,946.75 = 14,946.75 : x
  2. Step 2: Convert to fraction form
    6,824.25/14,946.75 = 14,946.75/x
  3. Step 3: Cross multiply
    6,824.25x = 14,946.75 × 14,946.75
  4. Step 4: Simplify right side
    6,824.25x = 223,405,335.56
  5. Step 5: Solve for x
    x = 223,405,335.56/6,824.25
  6. Step 6: Final answer
    x = 32,736.98

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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.