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Finding the Third Proportional to 11,838 and 26,137

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Solution

The third proportional to 11,838 and 26,137 is: 57,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838 : 26,137 = 26,137 : x
  2. Step 2: Convert to fraction form
    11,838/26,137 = 26,137/x
  3. Step 3: Cross multiply
    11,838x = 26,137 × 26,137
  4. Step 4: Simplify right side
    11,838x = 683,142,769
  5. Step 5: Solve for x
    x = 683,142,769/11,838
  6. Step 6: Final answer
    x = 57,707.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.