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Finding the Third Proportional to 25,083 and 51,939

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Solution

The third proportional to 25,083 and 51,939 is: 107,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083 : 51,939 = 51,939 : x
  2. Step 2: Convert to fraction form
    25,083/51,939 = 51,939/x
  3. Step 3: Cross multiply
    25,083x = 51,939 × 51,939
  4. Step 4: Simplify right side
    25,083x = 2,697,659,721
  5. Step 5: Solve for x
    x = 2,697,659,721/25,083
  6. Step 6: Final answer
    x = 107,549.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.