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Finding the Third Proportional to 25,869 and 55,863

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Solution

The third proportional to 25,869 and 55,863 is: 120,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,869 : 55,863 = 55,863 : x
  2. Step 2: Convert to fraction form
    25,869/55,863 = 55,863/x
  3. Step 3: Cross multiply
    25,869x = 55,863 × 55,863
  4. Step 4: Simplify right side
    25,869x = 3,120,674,769
  5. Step 5: Solve for x
    x = 3,120,674,769/25,869
  6. Step 6: Final answer
    x = 120,633.76

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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.