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Finding the Third Proportional to 23,610 and 51,105

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Solution

The third proportional to 23,610 and 51,105 is: 110,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,610 : 51,105 = 51,105 : x
  2. Step 2: Convert to fraction form
    23,610/51,105 = 51,105/x
  3. Step 3: Cross multiply
    23,610x = 51,105 × 51,105
  4. Step 4: Simplify right side
    23,610x = 2,611,721,025
  5. Step 5: Solve for x
    x = 2,611,721,025/23,610
  6. Step 6: Final answer
    x = 110,619.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.