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Finding the Third Proportional to 25,940.25 and 27,793.13

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Solution

The third proportional to 25,940.25 and 27,793.13 is: 29,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,940.25 : 27,793.13 = 27,793.13 : x
  2. Step 2: Convert to fraction form
    25,940.25/27,793.13 = 27,793.13/x
  3. Step 3: Cross multiply
    25,940.25x = 27,793.13 × 27,793.13
  4. Step 4: Simplify right side
    25,940.25x = 772,457,797.27
  5. Step 5: Solve for x
    x = 772,457,797.27/25,940.25
  6. Step 6: Final answer
    x = 29,778.35

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.