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Finding the Third Proportional to 17,589 and 40,683

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Solution

The third proportional to 17,589 and 40,683 is: 94,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589 : 40,683 = 40,683 : x
  2. Step 2: Convert to fraction form
    17,589/40,683 = 40,683/x
  3. Step 3: Cross multiply
    17,589x = 40,683 × 40,683
  4. Step 4: Simplify right side
    17,589x = 1,655,106,489
  5. Step 5: Solve for x
    x = 1,655,106,489/17,589
  6. Step 6: Final answer
    x = 94,098.95

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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.