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Finding the Third Proportional to 28,268 and 62,082

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Solution

The third proportional to 28,268 and 62,082 is: 136,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,268 : 62,082 = 62,082 : x
  2. Step 2: Convert to fraction form
    28,268/62,082 = 62,082/x
  3. Step 3: Cross multiply
    28,268x = 62,082 × 62,082
  4. Step 4: Simplify right side
    28,268x = 3,854,174,724
  5. Step 5: Solve for x
    x = 3,854,174,724/28,268
  6. Step 6: Final answer
    x = 136,344.09

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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.