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Finding the Third Proportional to 25,667 and 55,167

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Solution

The third proportional to 25,667 and 55,167 is: 118,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,667 : 55,167 = 55,167 : x
  2. Step 2: Convert to fraction form
    25,667/55,167 = 55,167/x
  3. Step 3: Cross multiply
    25,667x = 55,167 × 55,167
  4. Step 4: Simplify right side
    25,667x = 3,043,397,889
  5. Step 5: Solve for x
    x = 3,043,397,889/25,667
  6. Step 6: Final answer
    x = 118,572.40

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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.