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Finding the Third Proportional to 25,474 and 55,214

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Solution

The third proportional to 25,474 and 55,214 is: 119,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474 : 55,214 = 55,214 : x
  2. Step 2: Convert to fraction form
    25,474/55,214 = 55,214/x
  3. Step 3: Cross multiply
    25,474x = 55,214 × 55,214
  4. Step 4: Simplify right side
    25,474x = 3,048,585,796
  5. Step 5: Solve for x
    x = 3,048,585,796/25,474
  6. Step 6: Final answer
    x = 119,674.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.