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Finding the Third Proportional to 11,589 and 24,819

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Solution

The third proportional to 11,589 and 24,819 is: 53,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589 : 24,819 = 24,819 : x
  2. Step 2: Convert to fraction form
    11,589/24,819 = 24,819/x
  3. Step 3: Cross multiply
    11,589x = 24,819 × 24,819
  4. Step 4: Simplify right side
    11,589x = 615,982,761
  5. Step 5: Solve for x
    x = 615,982,761/11,589
  6. Step 6: Final answer
    x = 53,152.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.