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Finding the Third Proportional to 23,609 and 34,563

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Solution

The third proportional to 23,609 and 34,563 is: 50,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609 : 34,563 = 34,563 : x
  2. Step 2: Convert to fraction form
    23,609/34,563 = 34,563/x
  3. Step 3: Cross multiply
    23,609x = 34,563 × 34,563
  4. Step 4: Simplify right side
    23,609x = 1,194,600,969
  5. Step 5: Solve for x
    x = 1,194,600,969/23,609
  6. Step 6: Final answer
    x = 50,599.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.