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Finding the Third Proportional to 25,910 and 55,954

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Solution

The third proportional to 25,910 and 55,954 is: 120,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,910 : 55,954 = 55,954 : x
  2. Step 2: Convert to fraction form
    25,910/55,954 = 55,954/x
  3. Step 3: Cross multiply
    25,910x = 55,954 × 55,954
  4. Step 4: Simplify right side
    25,910x = 3,130,850,116
  5. Step 5: Solve for x
    x = 3,130,850,116/25,910
  6. Step 6: Final answer
    x = 120,835.59

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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.