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Finding the Third Proportional to 7,974.38 and 18,625.88

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Solution

The third proportional to 7,974.38 and 18,625.88 is: 43,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.38 : 18,625.88 = 18,625.88 : x
  2. Step 2: Convert to fraction form
    7,974.38/18,625.88 = 18,625.88/x
  3. Step 3: Cross multiply
    7,974.38x = 18,625.88 × 18,625.88
  4. Step 4: Simplify right side
    7,974.38x = 346,923,219.52
  5. Step 5: Solve for x
    x = 346,923,219.52/7,974.38
  6. Step 6: Final answer
    x = 43,504.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.