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Finding the Third Proportional to 25,840 and 55,811

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Solution

The third proportional to 25,840 and 55,811 is: 120,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840 : 55,811 = 55,811 : x
  2. Step 2: Convert to fraction form
    25,840/55,811 = 55,811/x
  3. Step 3: Cross multiply
    25,840x = 55,811 × 55,811
  4. Step 4: Simplify right side
    25,840x = 3,114,867,721
  5. Step 5: Solve for x
    x = 3,114,867,721/25,840
  6. Step 6: Final answer
    x = 120,544.42

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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.