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Finding the Third Proportional to 25,960 and 57,761

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Solution

The third proportional to 25,960 and 57,761 is: 128,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960 : 57,761 = 57,761 : x
  2. Step 2: Convert to fraction form
    25,960/57,761 = 57,761/x
  3. Step 3: Cross multiply
    25,960x = 57,761 × 57,761
  4. Step 4: Simplify right side
    25,960x = 3,336,333,121
  5. Step 5: Solve for x
    x = 3,336,333,121/25,960
  6. Step 6: Final answer
    x = 128,518.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.