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Finding the Third Proportional to 12,105 and 18,170.50

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Solution

The third proportional to 12,105 and 18,170.50 is: 27,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105 : 18,170.50 = 18,170.50 : x
  2. Step 2: Convert to fraction form
    12,105/18,170.50 = 18,170.50/x
  3. Step 3: Cross multiply
    12,105x = 18,170.50 × 18,170.50
  4. Step 4: Simplify right side
    12,105x = 330,167,070.25
  5. Step 5: Solve for x
    x = 330,167,070.25/12,105
  6. Step 6: Final answer
    x = 27,275.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.