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Finding the Third Proportional to 25,991 and 41,319

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Solution

The third proportional to 25,991 and 41,319 is: 65,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,991 : 41,319 = 41,319 : x
  2. Step 2: Convert to fraction form
    25,991/41,319 = 41,319/x
  3. Step 3: Cross multiply
    25,991x = 41,319 × 41,319
  4. Step 4: Simplify right side
    25,991x = 1,707,259,761
  5. Step 5: Solve for x
    x = 1,707,259,761/25,991
  6. Step 6: Final answer
    x = 65,686.57

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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.