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Finding the Third Proportional to 32,774 and 50,442

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Solution

The third proportional to 32,774 and 50,442 is: 77,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774 : 50,442 = 50,442 : x
  2. Step 2: Convert to fraction form
    32,774/50,442 = 50,442/x
  3. Step 3: Cross multiply
    32,774x = 50,442 × 50,442
  4. Step 4: Simplify right side
    32,774x = 2,544,395,364
  5. Step 5: Solve for x
    x = 2,544,395,364/32,774
  6. Step 6: Final answer
    x = 77,634.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.