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Finding the Third Proportional to 27,829 and 43,098

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Solution

The third proportional to 27,829 and 43,098 is: 66,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829 : 43,098 = 43,098 : x
  2. Step 2: Convert to fraction form
    27,829/43,098 = 43,098/x
  3. Step 3: Cross multiply
    27,829x = 43,098 × 43,098
  4. Step 4: Simplify right side
    27,829x = 1,857,437,604
  5. Step 5: Solve for x
    x = 1,857,437,604/27,829
  6. Step 6: Final answer
    x = 66,744.68

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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.