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Finding the Third Proportional to 32,926 and 72,970

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Solution

The third proportional to 32,926 and 72,970 is: 161,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926 : 72,970 = 72,970 : x
  2. Step 2: Convert to fraction form
    32,926/72,970 = 72,970/x
  3. Step 3: Cross multiply
    32,926x = 72,970 × 72,970
  4. Step 4: Simplify right side
    32,926x = 5,324,620,900
  5. Step 5: Solve for x
    x = 5,324,620,900/32,926
  6. Step 6: Final answer
    x = 161,714.78

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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.