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Finding the Third Proportional to 25,993 and 41,323

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Solution

The third proportional to 25,993 and 41,323 is: 65,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993 : 41,323 = 41,323 : x
  2. Step 2: Convert to fraction form
    25,993/41,323 = 41,323/x
  3. Step 3: Cross multiply
    25,993x = 41,323 × 41,323
  4. Step 4: Simplify right side
    25,993x = 1,707,590,329
  5. Step 5: Solve for x
    x = 1,707,590,329/25,993
  6. Step 6: Final answer
    x = 65,694.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.