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Finding the Third Proportional to 23,609 and 51,754

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Solution

The third proportional to 23,609 and 51,754 is: 113,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609 : 51,754 = 51,754 : x
  2. Step 2: Convert to fraction form
    23,609/51,754 = 51,754/x
  3. Step 3: Cross multiply
    23,609x = 51,754 × 51,754
  4. Step 4: Simplify right side
    23,609x = 2,678,476,516
  5. Step 5: Solve for x
    x = 2,678,476,516/23,609
  6. Step 6: Final answer
    x = 113,451.50

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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.