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Finding the Third Proportional to 10,297.75 and 16,425.25

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Solution

The third proportional to 10,297.75 and 16,425.25 is: 26,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.75 : 16,425.25 = 16,425.25 : x
  2. Step 2: Convert to fraction form
    10,297.75/16,425.25 = 16,425.25/x
  3. Step 3: Cross multiply
    10,297.75x = 16,425.25 × 16,425.25
  4. Step 4: Simplify right side
    10,297.75x = 269,788,837.56
  5. Step 5: Solve for x
    x = 269,788,837.56/10,297.75
  6. Step 6: Final answer
    x = 26,198.81

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.