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Finding the Third Proportional to 12,000.75 and 18,166.13

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Solution

The third proportional to 12,000.75 and 18,166.13 is: 27,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.75 : 18,166.13 = 18,166.13 : x
  2. Step 2: Convert to fraction form
    12,000.75/18,166.13 = 18,166.13/x
  3. Step 3: Cross multiply
    12,000.75x = 18,166.13 × 18,166.13
  4. Step 4: Simplify right side
    12,000.75x = 330,008,097.52
  5. Step 5: Solve for x
    x = 330,008,097.52/12,000.75
  6. Step 6: Final answer
    x = 27,498.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.