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Finding the Third Proportional to 33,064 and 50,370

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Solution

The third proportional to 33,064 and 50,370 is: 76,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064 : 50,370 = 50,370 : x
  2. Step 2: Convert to fraction form
    33,064/50,370 = 50,370/x
  3. Step 3: Cross multiply
    33,064x = 50,370 × 50,370
  4. Step 4: Simplify right side
    33,064x = 2,537,136,900
  5. Step 5: Solve for x
    x = 2,537,136,900/33,064
  6. Step 6: Final answer
    x = 76,734.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.