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Finding the Third Proportional to 11,889 and 25,137

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Solution

The third proportional to 11,889 and 25,137 is: 53,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889 : 25,137 = 25,137 : x
  2. Step 2: Convert to fraction form
    11,889/25,137 = 25,137/x
  3. Step 3: Cross multiply
    11,889x = 25,137 × 25,137
  4. Step 4: Simplify right side
    11,889x = 631,868,769
  5. Step 5: Solve for x
    x = 631,868,769/11,889
  6. Step 6: Final answer
    x = 53,147.34

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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.