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Finding the Third Proportional to 33,924 and 73,495

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Solution

The third proportional to 33,924 and 73,495 is: 159,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,924 : 73,495 = 73,495 : x
  2. Step 2: Convert to fraction form
    33,924/73,495 = 73,495/x
  3. Step 3: Cross multiply
    33,924x = 73,495 × 73,495
  4. Step 4: Simplify right side
    33,924x = 5,401,515,025
  5. Step 5: Solve for x
    x = 5,401,515,025/33,924
  6. Step 6: Final answer
    x = 159,224.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.