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Finding the Third Proportional to 12,150 and 18,143

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Solution

The third proportional to 12,150 and 18,143 is: 27,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150 : 18,143 = 18,143 : x
  2. Step 2: Convert to fraction form
    12,150/18,143 = 18,143/x
  3. Step 3: Cross multiply
    12,150x = 18,143 × 18,143
  4. Step 4: Simplify right side
    12,150x = 329,168,449
  5. Step 5: Solve for x
    x = 329,168,449/12,150
  6. Step 6: Final answer
    x = 27,092.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.