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Finding the Third Proportional to 12,003 and 27,655.50

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Solution

The third proportional to 12,003 and 27,655.50 is: 63,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003 : 27,655.50 = 27,655.50 : x
  2. Step 2: Convert to fraction form
    12,003/27,655.50 = 27,655.50/x
  3. Step 3: Cross multiply
    12,003x = 27,655.50 × 27,655.50
  4. Step 4: Simplify right side
    12,003x = 764,826,680.25
  5. Step 5: Solve for x
    x = 764,826,680.25/12,003
  6. Step 6: Final answer
    x = 63,719.63

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.