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Finding the Third Proportional to 23,609 and 51,511

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Solution

The third proportional to 23,609 and 51,511 is: 112,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609 : 51,511 = 51,511 : x
  2. Step 2: Convert to fraction form
    23,609/51,511 = 51,511/x
  3. Step 3: Cross multiply
    23,609x = 51,511 × 51,511
  4. Step 4: Simplify right side
    23,609x = 2,653,383,121
  5. Step 5: Solve for x
    x = 2,653,383,121/23,609
  6. Step 6: Final answer
    x = 112,388.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.