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Finding the Third Proportional to 10,276 and 16,093

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Solution

The third proportional to 10,276 and 16,093 is: 25,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276 : 16,093 = 16,093 : x
  2. Step 2: Convert to fraction form
    10,276/16,093 = 16,093/x
  3. Step 3: Cross multiply
    10,276x = 16,093 × 16,093
  4. Step 4: Simplify right side
    10,276x = 258,984,649
  5. Step 5: Solve for x
    x = 258,984,649/10,276
  6. Step 6: Final answer
    x = 25,202.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.