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Finding the Third Proportional to 32,863 and 50,838

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Solution

The third proportional to 32,863 and 50,838 is: 78,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863 : 50,838 = 50,838 : x
  2. Step 2: Convert to fraction form
    32,863/50,838 = 50,838/x
  3. Step 3: Cross multiply
    32,863x = 50,838 × 50,838
  4. Step 4: Simplify right side
    32,863x = 2,584,502,244
  5. Step 5: Solve for x
    x = 2,584,502,244/32,863
  6. Step 6: Final answer
    x = 78,644.74

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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.