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Finding the Third Proportional to 18,966 and 30,180

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Solution

The third proportional to 18,966 and 30,180 is: 48,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,966 : 30,180 = 30,180 : x
  2. Step 2: Convert to fraction form
    18,966/30,180 = 30,180/x
  3. Step 3: Cross multiply
    18,966x = 30,180 × 30,180
  4. Step 4: Simplify right side
    18,966x = 910,832,400
  5. Step 5: Solve for x
    x = 910,832,400/18,966
  6. Step 6: Final answer
    x = 48,024.49

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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.