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Finding the Third Proportional to 18,850 and 27,698

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Solution

The third proportional to 18,850 and 27,698 is: 40,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,850 : 27,698 = 27,698 : x
  2. Step 2: Convert to fraction form
    18,850/27,698 = 27,698/x
  3. Step 3: Cross multiply
    18,850x = 27,698 × 27,698
  4. Step 4: Simplify right side
    18,850x = 767,179,204
  5. Step 5: Solve for x
    x = 767,179,204/18,850
  6. Step 6: Final answer
    x = 40,699.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.