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Finding the Third Proportional to 15,944 and 35,096

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Solution

The third proportional to 15,944 and 35,096 is: 77,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,944 : 35,096 = 35,096 : x
  2. Step 2: Convert to fraction form
    15,944/35,096 = 35,096/x
  3. Step 3: Cross multiply
    15,944x = 35,096 × 35,096
  4. Step 4: Simplify right side
    15,944x = 1,231,729,216
  5. Step 5: Solve for x
    x = 1,231,729,216/15,944
  6. Step 6: Final answer
    x = 77,253.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.