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Finding the Third Proportional to 19,734 and 40,836

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Solution

The third proportional to 19,734 and 40,836 is: 84,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734 : 40,836 = 40,836 : x
  2. Step 2: Convert to fraction form
    19,734/40,836 = 40,836/x
  3. Step 3: Cross multiply
    19,734x = 40,836 × 40,836
  4. Step 4: Simplify right side
    19,734x = 1,667,578,896
  5. Step 5: Solve for x
    x = 1,667,578,896/19,734
  6. Step 6: Final answer
    x = 84,502.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.