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Finding the Third Proportional to 12,353.25 and 27,166.88

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Solution

The third proportional to 12,353.25 and 27,166.88 is: 59,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.25 : 27,166.88 = 27,166.88 : x
  2. Step 2: Convert to fraction form
    12,353.25/27,166.88 = 27,166.88/x
  3. Step 3: Cross multiply
    12,353.25x = 27,166.88 × 27,166.88
  4. Step 4: Simplify right side
    12,353.25x = 738,039,097.27
  5. Step 5: Solve for x
    x = 738,039,097.27/12,353.25
  6. Step 6: Final answer
    x = 59,744.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.