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Finding the Third Proportional to 25,864 and 41,324

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Solution

The third proportional to 25,864 and 41,324 is: 66,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864 : 41,324 = 41,324 : x
  2. Step 2: Convert to fraction form
    25,864/41,324 = 41,324/x
  3. Step 3: Cross multiply
    25,864x = 41,324 × 41,324
  4. Step 4: Simplify right side
    25,864x = 1,707,672,976
  5. Step 5: Solve for x
    x = 1,707,672,976/25,864
  6. Step 6: Final answer
    x = 66,025.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.