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Finding the Third Proportional to 28,761 and 58,916

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Solution

The third proportional to 28,761 and 58,916 is: 120,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,761 : 58,916 = 58,916 : x
  2. Step 2: Convert to fraction form
    28,761/58,916 = 58,916/x
  3. Step 3: Cross multiply
    28,761x = 58,916 × 58,916
  4. Step 4: Simplify right side
    28,761x = 3,471,095,056
  5. Step 5: Solve for x
    x = 3,471,095,056/28,761
  6. Step 6: Final answer
    x = 120,687.56

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.