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Finding the Third Proportional to 25,532 and 54,194

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Solution

The third proportional to 25,532 and 54,194 is: 115,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532 : 54,194 = 54,194 : x
  2. Step 2: Convert to fraction form
    25,532/54,194 = 54,194/x
  3. Step 3: Cross multiply
    25,532x = 54,194 × 54,194
  4. Step 4: Simplify right side
    25,532x = 2,936,989,636
  5. Step 5: Solve for x
    x = 2,936,989,636/25,532
  6. Step 6: Final answer
    x = 115,031.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.