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Finding the Third Proportional to 25,869 and 55,701

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Solution

The third proportional to 25,869 and 55,701 is: 119,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,869 : 55,701 = 55,701 : x
  2. Step 2: Convert to fraction form
    25,869/55,701 = 55,701/x
  3. Step 3: Cross multiply
    25,869x = 55,701 × 55,701
  4. Step 4: Simplify right side
    25,869x = 3,102,601,401
  5. Step 5: Solve for x
    x = 3,102,601,401/25,869
  6. Step 6: Final answer
    x = 119,935.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.