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Finding the Third Proportional to 36,342 and 48,838

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Solution

The third proportional to 36,342 and 48,838 is: 65,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342 : 48,838 = 48,838 : x
  2. Step 2: Convert to fraction form
    36,342/48,838 = 48,838/x
  3. Step 3: Cross multiply
    36,342x = 48,838 × 48,838
  4. Step 4: Simplify right side
    36,342x = 2,385,150,244
  5. Step 5: Solve for x
    x = 2,385,150,244/36,342
  6. Step 6: Final answer
    x = 65,630.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.