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Finding the Third Proportional to 7,844 and 18,098

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Solution

The third proportional to 7,844 and 18,098 is: 41,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844 : 18,098 = 18,098 : x
  2. Step 2: Convert to fraction form
    7,844/18,098 = 18,098/x
  3. Step 3: Cross multiply
    7,844x = 18,098 × 18,098
  4. Step 4: Simplify right side
    7,844x = 327,537,604
  5. Step 5: Solve for x
    x = 327,537,604/7,844
  6. Step 6: Final answer
    x = 41,756.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.