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Finding the Third Proportional to 18,122 and 27,863

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Solution

The third proportional to 18,122 and 27,863 is: 42,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,122 : 27,863 = 27,863 : x
  2. Step 2: Convert to fraction form
    18,122/27,863 = 27,863/x
  3. Step 3: Cross multiply
    18,122x = 27,863 × 27,863
  4. Step 4: Simplify right side
    18,122x = 776,346,769
  5. Step 5: Solve for x
    x = 776,346,769/18,122
  6. Step 6: Final answer
    x = 42,840.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.