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Finding the Third Proportional to 32,992 and 49,769

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Solution

The third proportional to 32,992 and 49,769 is: 75,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992 : 49,769 = 49,769 : x
  2. Step 2: Convert to fraction form
    32,992/49,769 = 49,769/x
  3. Step 3: Cross multiply
    32,992x = 49,769 × 49,769
  4. Step 4: Simplify right side
    32,992x = 2,476,953,361
  5. Step 5: Solve for x
    x = 2,476,953,361/32,992
  6. Step 6: Final answer
    x = 75,077.39

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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.