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Finding the Third Proportional to 11,686 and 25,154

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Solution

The third proportional to 11,686 and 25,154 is: 54,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686 : 25,154 = 25,154 : x
  2. Step 2: Convert to fraction form
    11,686/25,154 = 25,154/x
  3. Step 3: Cross multiply
    11,686x = 25,154 × 25,154
  4. Step 4: Simplify right side
    11,686x = 632,723,716
  5. Step 5: Solve for x
    x = 632,723,716/11,686
  6. Step 6: Final answer
    x = 54,143.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.