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Finding the Third Proportional to 11,812 and 18,031.50

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Solution

The third proportional to 11,812 and 18,031.50 is: 27,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812 : 18,031.50 = 18,031.50 : x
  2. Step 2: Convert to fraction form
    11,812/18,031.50 = 18,031.50/x
  3. Step 3: Cross multiply
    11,812x = 18,031.50 × 18,031.50
  4. Step 4: Simplify right side
    11,812x = 325,134,992.25
  5. Step 5: Solve for x
    x = 325,134,992.25/11,812
  6. Step 6: Final answer
    x = 27,525.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.