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Finding the Third Proportional to 25,293 and 55,425

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Solution

The third proportional to 25,293 and 55,425 is: 121,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293 : 55,425 = 55,425 : x
  2. Step 2: Convert to fraction form
    25,293/55,425 = 55,425/x
  3. Step 3: Cross multiply
    25,293x = 55,425 × 55,425
  4. Step 4: Simplify right side
    25,293x = 3,071,930,625
  5. Step 5: Solve for x
    x = 3,071,930,625/25,293
  6. Step 6: Final answer
    x = 121,453.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.