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Finding the Third Proportional to 12,046.50 and 19,165

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Solution

The third proportional to 12,046.50 and 19,165 is: 30,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.50 : 19,165 = 19,165 : x
  2. Step 2: Convert to fraction form
    12,046.50/19,165 = 19,165/x
  3. Step 3: Cross multiply
    12,046.50x = 19,165 × 19,165
  4. Step 4: Simplify right side
    12,046.50x = 367,297,225
  5. Step 5: Solve for x
    x = 367,297,225/12,046.50
  6. Step 6: Final answer
    x = 30,489.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.