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Finding the Third Proportional to 25,454 and 54,809

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Solution

The third proportional to 25,454 and 54,809 is: 118,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,454 : 54,809 = 54,809 : x
  2. Step 2: Convert to fraction form
    25,454/54,809 = 54,809/x
  3. Step 3: Cross multiply
    25,454x = 54,809 × 54,809
  4. Step 4: Simplify right side
    25,454x = 3,004,026,481
  5. Step 5: Solve for x
    x = 3,004,026,481/25,454
  6. Step 6: Final answer
    x = 118,017.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.