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Finding the Third Proportional to 25,055 and 54,481

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Solution

The third proportional to 25,055 and 54,481 is: 118,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,055 : 54,481 = 54,481 : x
  2. Step 2: Convert to fraction form
    25,055/54,481 = 54,481/x
  3. Step 3: Cross multiply
    25,055x = 54,481 × 54,481
  4. Step 4: Simplify right side
    25,055x = 2,968,179,361
  5. Step 5: Solve for x
    x = 2,968,179,361/25,055
  6. Step 6: Final answer
    x = 118,466.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.