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Finding the Third Proportional to 12,582 and 27,652

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Solution

The third proportional to 12,582 and 27,652 is: 60,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 27,652 = 27,652 : x
  2. Step 2: Convert to fraction form
    12,582/27,652 = 27,652/x
  3. Step 3: Cross multiply
    12,582x = 27,652 × 27,652
  4. Step 4: Simplify right side
    12,582x = 764,633,104
  5. Step 5: Solve for x
    x = 764,633,104/12,582
  6. Step 6: Final answer
    x = 60,771.98

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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.