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Finding the Third Proportional to 33,463 and 50,477

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Solution

The third proportional to 33,463 and 50,477 is: 76,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,463 : 50,477 = 50,477 : x
  2. Step 2: Convert to fraction form
    33,463/50,477 = 50,477/x
  3. Step 3: Cross multiply
    33,463x = 50,477 × 50,477
  4. Step 4: Simplify right side
    33,463x = 2,547,927,529
  5. Step 5: Solve for x
    x = 2,547,927,529/33,463
  6. Step 6: Final answer
    x = 76,141.63

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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.