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Finding the Third Proportional to 32,927 and 72,971

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Solution

The third proportional to 32,927 and 72,971 is: 161,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927 : 72,971 = 72,971 : x
  2. Step 2: Convert to fraction form
    32,927/72,971 = 72,971/x
  3. Step 3: Cross multiply
    32,927x = 72,971 × 72,971
  4. Step 4: Simplify right side
    32,927x = 5,324,766,841
  5. Step 5: Solve for x
    x = 5,324,766,841/32,927
  6. Step 6: Final answer
    x = 161,714.30

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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.