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Finding the Third Proportional to 25,198.50 and 52,995

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Solution

The third proportional to 25,198.50 and 52,995 is: 111,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.50 : 52,995 = 52,995 : x
  2. Step 2: Convert to fraction form
    25,198.50/52,995 = 52,995/x
  3. Step 3: Cross multiply
    25,198.50x = 52,995 × 52,995
  4. Step 4: Simplify right side
    25,198.50x = 2,808,470,025
  5. Step 5: Solve for x
    x = 2,808,470,025/25,198.50
  6. Step 6: Final answer
    x = 111,453.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.