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Finding the Third Proportional to 23,143 and 55,782

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Solution

The third proportional to 23,143 and 55,782 is: 134,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143 : 55,782 = 55,782 : x
  2. Step 2: Convert to fraction form
    23,143/55,782 = 55,782/x
  3. Step 3: Cross multiply
    23,143x = 55,782 × 55,782
  4. Step 4: Simplify right side
    23,143x = 3,111,631,524
  5. Step 5: Solve for x
    x = 3,111,631,524/23,143
  6. Step 6: Final answer
    x = 134,452.38

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.