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Finding the Third Proportional to 25,481.25 and 28,154.25

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Solution

The third proportional to 25,481.25 and 28,154.25 is: 31,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,481.25 : 28,154.25 = 28,154.25 : x
  2. Step 2: Convert to fraction form
    25,481.25/28,154.25 = 28,154.25/x
  3. Step 3: Cross multiply
    25,481.25x = 28,154.25 × 28,154.25
  4. Step 4: Simplify right side
    25,481.25x = 792,661,793.06
  5. Step 5: Solve for x
    x = 792,661,793.06/25,481.25
  6. Step 6: Final answer
    x = 31,107.65

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.