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Finding the Third Proportional to 11,878 and 25,097

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Solution

The third proportional to 11,878 and 25,097 is: 53,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878 : 25,097 = 25,097 : x
  2. Step 2: Convert to fraction form
    11,878/25,097 = 25,097/x
  3. Step 3: Cross multiply
    11,878x = 25,097 × 25,097
  4. Step 4: Simplify right side
    11,878x = 629,859,409
  5. Step 5: Solve for x
    x = 629,859,409/11,878
  6. Step 6: Final answer
    x = 53,027.40

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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.