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Finding the Third Proportional to 32,967 and 73,305

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Solution

The third proportional to 32,967 and 73,305 is: 163,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 73,305 = 73,305 : x
  2. Step 2: Convert to fraction form
    32,967/73,305 = 73,305/x
  3. Step 3: Cross multiply
    32,967x = 73,305 × 73,305
  4. Step 4: Simplify right side
    32,967x = 5,373,623,025
  5. Step 5: Solve for x
    x = 5,373,623,025/32,967
  6. Step 6: Final answer
    x = 163,000.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.