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Finding the Third Proportional to 25,960 and 41,160

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Solution

The third proportional to 25,960 and 41,160 is: 65,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960 : 41,160 = 41,160 : x
  2. Step 2: Convert to fraction form
    25,960/41,160 = 41,160/x
  3. Step 3: Cross multiply
    25,960x = 41,160 × 41,160
  4. Step 4: Simplify right side
    25,960x = 1,694,145,600
  5. Step 5: Solve for x
    x = 1,694,145,600/25,960
  6. Step 6: Final answer
    x = 65,259.85

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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.