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Finding the Third Proportional to 33,064 and 73,483

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Solution

The third proportional to 33,064 and 73,483 is: 163,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064 : 73,483 = 73,483 : x
  2. Step 2: Convert to fraction form
    33,064/73,483 = 73,483/x
  3. Step 3: Cross multiply
    33,064x = 73,483 × 73,483
  4. Step 4: Simplify right side
    33,064x = 5,399,751,289
  5. Step 5: Solve for x
    x = 5,399,751,289/33,064
  6. Step 6: Final answer
    x = 163,312.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.