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Finding the Third Proportional to 23,764 and 35,782

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Solution

The third proportional to 23,764 and 35,782 is: 53,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764 : 35,782 = 35,782 : x
  2. Step 2: Convert to fraction form
    23,764/35,782 = 35,782/x
  3. Step 3: Cross multiply
    23,764x = 35,782 × 35,782
  4. Step 4: Simplify right side
    23,764x = 1,280,351,524
  5. Step 5: Solve for x
    x = 1,280,351,524/23,764
  6. Step 6: Final answer
    x = 53,877.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.