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Finding the Third Proportional to 32,818 and 71,994

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Solution

The third proportional to 32,818 and 71,994 is: 157,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,818 : 71,994 = 71,994 : x
  2. Step 2: Convert to fraction form
    32,818/71,994 = 71,994/x
  3. Step 3: Cross multiply
    32,818x = 71,994 × 71,994
  4. Step 4: Simplify right side
    32,818x = 5,183,136,036
  5. Step 5: Solve for x
    x = 5,183,136,036/32,818
  6. Step 6: Final answer
    x = 157,935.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.