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Finding the Third Proportional to 34,428.25 and 72,990

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Solution

The third proportional to 34,428.25 and 72,990 is: 154,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,428.25 : 72,990 = 72,990 : x
  2. Step 2: Convert to fraction form
    34,428.25/72,990 = 72,990/x
  3. Step 3: Cross multiply
    34,428.25x = 72,990 × 72,990
  4. Step 4: Simplify right side
    34,428.25x = 5,327,540,100
  5. Step 5: Solve for x
    x = 5,327,540,100/34,428.25
  6. Step 6: Final answer
    x = 154,743.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.