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Finding the Third Proportional to 25,638 and 55,650

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Solution

The third proportional to 25,638 and 55,650 is: 120,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638 : 55,650 = 55,650 : x
  2. Step 2: Convert to fraction form
    25,638/55,650 = 55,650/x
  3. Step 3: Cross multiply
    25,638x = 55,650 × 55,650
  4. Step 4: Simplify right side
    25,638x = 3,096,922,500
  5. Step 5: Solve for x
    x = 3,096,922,500/25,638
  6. Step 6: Final answer
    x = 120,794.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.