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Finding the Third Proportional to 32,453 and 49,631

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Solution

The third proportional to 32,453 and 49,631 is: 75,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453 : 49,631 = 49,631 : x
  2. Step 2: Convert to fraction form
    32,453/49,631 = 49,631/x
  3. Step 3: Cross multiply
    32,453x = 49,631 × 49,631
  4. Step 4: Simplify right side
    32,453x = 2,463,236,161
  5. Step 5: Solve for x
    x = 2,463,236,161/32,453
  6. Step 6: Final answer
    x = 75,901.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.