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Finding the Third Proportional to 33,454 and 50,464.50

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Solution

The third proportional to 33,454 and 50,464.50 is: 76,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454 : 50,464.50 = 50,464.50 : x
  2. Step 2: Convert to fraction form
    33,454/50,464.50 = 50,464.50/x
  3. Step 3: Cross multiply
    33,454x = 50,464.50 × 50,464.50
  4. Step 4: Simplify right side
    33,454x = 2,546,665,760.25
  5. Step 5: Solve for x
    x = 2,546,665,760.25/33,454
  6. Step 6: Final answer
    x = 76,124.40

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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.