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Finding the Third Proportional to 11,304 and 25,078

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Solution

The third proportional to 11,304 and 25,078 is: 55,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304 : 25,078 = 25,078 : x
  2. Step 2: Convert to fraction form
    11,304/25,078 = 25,078/x
  3. Step 3: Cross multiply
    11,304x = 25,078 × 25,078
  4. Step 4: Simplify right side
    11,304x = 628,906,084
  5. Step 5: Solve for x
    x = 628,906,084/11,304
  6. Step 6: Final answer
    x = 55,635.71

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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.