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Finding the Third Proportional to 12,410.50 and 27,005

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Solution

The third proportional to 12,410.50 and 27,005 is: 58,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.50 : 27,005 = 27,005 : x
  2. Step 2: Convert to fraction form
    12,410.50/27,005 = 27,005/x
  3. Step 3: Cross multiply
    12,410.50x = 27,005 × 27,005
  4. Step 4: Simplify right side
    12,410.50x = 729,270,025
  5. Step 5: Solve for x
    x = 729,270,025/12,410.50
  6. Step 6: Final answer
    x = 58,762.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.