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Finding the Third Proportional to 6,837.75 and 13,903.31

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Solution

The third proportional to 6,837.75 and 13,903.31 is: 28,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.75 : 13,903.31 = 13,903.31 : x
  2. Step 2: Convert to fraction form
    6,837.75/13,903.31 = 13,903.31/x
  3. Step 3: Cross multiply
    6,837.75x = 13,903.31 × 13,903.31
  4. Step 4: Simplify right side
    6,837.75x = 193,302,098.47
  5. Step 5: Solve for x
    x = 193,302,098.47/6,837.75
  6. Step 6: Final answer
    x = 28,269.84

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.