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Finding the Third Proportional to 25,764 and 36,744

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Solution

The third proportional to 25,764 and 36,744 is: 52,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764 : 36,744 = 36,744 : x
  2. Step 2: Convert to fraction form
    25,764/36,744 = 36,744/x
  3. Step 3: Cross multiply
    25,764x = 36,744 × 36,744
  4. Step 4: Simplify right side
    25,764x = 1,350,121,536
  5. Step 5: Solve for x
    x = 1,350,121,536/25,764
  6. Step 6: Final answer
    x = 52,403.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.