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Finding the Third Proportional to 18,021 and 42,098

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Solution

The third proportional to 18,021 and 42,098 is: 98,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,021 : 42,098 = 42,098 : x
  2. Step 2: Convert to fraction form
    18,021/42,098 = 42,098/x
  3. Step 3: Cross multiply
    18,021x = 42,098 × 42,098
  4. Step 4: Simplify right side
    18,021x = 1,772,241,604
  5. Step 5: Solve for x
    x = 1,772,241,604/18,021
  6. Step 6: Final answer
    x = 98,343.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.