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Finding the Third Proportional to 32,794 and 76,990

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Solution

The third proportional to 32,794 and 76,990 is: 180,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794 : 76,990 = 76,990 : x
  2. Step 2: Convert to fraction form
    32,794/76,990 = 76,990/x
  3. Step 3: Cross multiply
    32,794x = 76,990 × 76,990
  4. Step 4: Simplify right side
    32,794x = 5,927,460,100
  5. Step 5: Solve for x
    x = 5,927,460,100/32,794
  6. Step 6: Final answer
    x = 180,748.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.