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Finding the Third Proportional to 33,854 and 51,501

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Solution

The third proportional to 33,854 and 51,501 is: 78,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854 : 51,501 = 51,501 : x
  2. Step 2: Convert to fraction form
    33,854/51,501 = 51,501/x
  3. Step 3: Cross multiply
    33,854x = 51,501 × 51,501
  4. Step 4: Simplify right side
    33,854x = 2,652,353,001
  5. Step 5: Solve for x
    x = 2,652,353,001/33,854
  6. Step 6: Final answer
    x = 78,346.81

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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.