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Finding the Third Proportional to 11,745 and 25,378

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Solution

The third proportional to 11,745 and 25,378 is: 54,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745 : 25,378 = 25,378 : x
  2. Step 2: Convert to fraction form
    11,745/25,378 = 25,378/x
  3. Step 3: Cross multiply
    11,745x = 25,378 × 25,378
  4. Step 4: Simplify right side
    11,745x = 644,042,884
  5. Step 5: Solve for x
    x = 644,042,884/11,745
  6. Step 6: Final answer
    x = 54,835.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.