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Finding the Third Proportional to 5,350.03 and 11,648.34

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Solution

The third proportional to 5,350.03 and 11,648.34 is: 25,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350.03 : 11,648.34 = 11,648.34 : x
  2. Step 2: Convert to fraction form
    5,350.03/11,648.34 = 11,648.34/x
  3. Step 3: Cross multiply
    5,350.03x = 11,648.34 × 11,648.34
  4. Step 4: Simplify right side
    5,350.03x = 135,683,775.61
  5. Step 5: Solve for x
    x = 135,683,775.61/5,350.03
  6. Step 6: Final answer
    x = 25,361.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.