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Finding the Third Proportional to 25,262 and 54,949

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Solution

The third proportional to 25,262 and 54,949 is: 119,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262 : 54,949 = 54,949 : x
  2. Step 2: Convert to fraction form
    25,262/54,949 = 54,949/x
  3. Step 3: Cross multiply
    25,262x = 54,949 × 54,949
  4. Step 4: Simplify right side
    25,262x = 3,019,392,601
  5. Step 5: Solve for x
    x = 3,019,392,601/25,262
  6. Step 6: Final answer
    x = 119,523.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.