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Finding the Third Proportional to 23,960 and 36,271

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Solution

The third proportional to 23,960 and 36,271 is: 54,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,960 : 36,271 = 36,271 : x
  2. Step 2: Convert to fraction form
    23,960/36,271 = 36,271/x
  3. Step 3: Cross multiply
    23,960x = 36,271 × 36,271
  4. Step 4: Simplify right side
    23,960x = 1,315,585,441
  5. Step 5: Solve for x
    x = 1,315,585,441/23,960
  6. Step 6: Final answer
    x = 54,907.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.