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Finding the Third Proportional to 25,914 and 54,441

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Solution

The third proportional to 25,914 and 54,441 is: 114,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914 : 54,441 = 54,441 : x
  2. Step 2: Convert to fraction form
    25,914/54,441 = 54,441/x
  3. Step 3: Cross multiply
    25,914x = 54,441 × 54,441
  4. Step 4: Simplify right side
    25,914x = 2,963,822,481
  5. Step 5: Solve for x
    x = 2,963,822,481/25,914
  6. Step 6: Final answer
    x = 114,371.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.