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Finding the Third Proportional to 25,583 and 55,198

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Solution

The third proportional to 25,583 and 55,198 is: 119,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,583 : 55,198 = 55,198 : x
  2. Step 2: Convert to fraction form
    25,583/55,198 = 55,198/x
  3. Step 3: Cross multiply
    25,583x = 55,198 × 55,198
  4. Step 4: Simplify right side
    25,583x = 3,046,819,204
  5. Step 5: Solve for x
    x = 3,046,819,204/25,583
  6. Step 6: Final answer
    x = 119,095.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.