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Finding the Third Proportional to 25,006 and 35,167

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Solution

The third proportional to 25,006 and 35,167 is: 49,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,006 : 35,167 = 35,167 : x
  2. Step 2: Convert to fraction form
    25,006/35,167 = 35,167/x
  3. Step 3: Cross multiply
    25,006x = 35,167 × 35,167
  4. Step 4: Simplify right side
    25,006x = 1,236,717,889
  5. Step 5: Solve for x
    x = 1,236,717,889/25,006
  6. Step 6: Final answer
    x = 49,456.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.