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Finding the Third Proportional to 23,286 and 51,728

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Solution

The third proportional to 23,286 and 51,728 is: 114,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286 : 51,728 = 51,728 : x
  2. Step 2: Convert to fraction form
    23,286/51,728 = 51,728/x
  3. Step 3: Cross multiply
    23,286x = 51,728 × 51,728
  4. Step 4: Simplify right side
    23,286x = 2,675,785,984
  5. Step 5: Solve for x
    x = 2,675,785,984/23,286
  6. Step 6: Final answer
    x = 114,909.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.