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Finding the Third Proportional to 18,102 and 27,973

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Solution

The third proportional to 18,102 and 27,973 is: 43,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102 : 27,973 = 27,973 : x
  2. Step 2: Convert to fraction form
    18,102/27,973 = 27,973/x
  3. Step 3: Cross multiply
    18,102x = 27,973 × 27,973
  4. Step 4: Simplify right side
    18,102x = 782,488,729
  5. Step 5: Solve for x
    x = 782,488,729/18,102
  6. Step 6: Final answer
    x = 43,226.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.