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Finding the Third Proportional to 28,648 and 62,945

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Solution

The third proportional to 28,648 and 62,945 is: 138,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,648 : 62,945 = 62,945 : x
  2. Step 2: Convert to fraction form
    28,648/62,945 = 62,945/x
  3. Step 3: Cross multiply
    28,648x = 62,945 × 62,945
  4. Step 4: Simplify right side
    28,648x = 3,962,073,025
  5. Step 5: Solve for x
    x = 3,962,073,025/28,648
  6. Step 6: Final answer
    x = 138,301.91

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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.