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Finding the Third Proportional to 11,877 and 25,089

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Solution

The third proportional to 11,877 and 25,089 is: 52,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877 : 25,089 = 25,089 : x
  2. Step 2: Convert to fraction form
    11,877/25,089 = 25,089/x
  3. Step 3: Cross multiply
    11,877x = 25,089 × 25,089
  4. Step 4: Simplify right side
    11,877x = 629,457,921
  5. Step 5: Solve for x
    x = 629,457,921/11,877
  6. Step 6: Final answer
    x = 52,998.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.