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Finding the Third Proportional to 25,606 and 41,102

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Solution

The third proportional to 25,606 and 41,102 is: 65,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606 : 41,102 = 41,102 : x
  2. Step 2: Convert to fraction form
    25,606/41,102 = 41,102/x
  3. Step 3: Cross multiply
    25,606x = 41,102 × 41,102
  4. Step 4: Simplify right side
    25,606x = 1,689,374,404
  5. Step 5: Solve for x
    x = 1,689,374,404/25,606
  6. Step 6: Final answer
    x = 65,975.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.