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Finding the Third Proportional to 23,662 and 51,761

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Solution

The third proportional to 23,662 and 51,761 is: 113,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662 : 51,761 = 51,761 : x
  2. Step 2: Convert to fraction form
    23,662/51,761 = 51,761/x
  3. Step 3: Cross multiply
    23,662x = 51,761 × 51,761
  4. Step 4: Simplify right side
    23,662x = 2,679,201,121
  5. Step 5: Solve for x
    x = 2,679,201,121/23,662
  6. Step 6: Final answer
    x = 113,228.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.