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Finding the Third Proportional to 33,455 and 50,466

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Solution

The third proportional to 33,455 and 50,466 is: 76,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,455 : 50,466 = 50,466 : x
  2. Step 2: Convert to fraction form
    33,455/50,466 = 50,466/x
  3. Step 3: Cross multiply
    33,455x = 50,466 × 50,466
  4. Step 4: Simplify right side
    33,455x = 2,546,817,156
  5. Step 5: Solve for x
    x = 2,546,817,156/33,455
  6. Step 6: Final answer
    x = 76,126.65

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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.