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Finding the Third Proportional to 36,326 and 48,720

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Solution

The third proportional to 36,326 and 48,720 is: 65,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,326 : 48,720 = 48,720 : x
  2. Step 2: Convert to fraction form
    36,326/48,720 = 48,720/x
  3. Step 3: Cross multiply
    36,326x = 48,720 × 48,720
  4. Step 4: Simplify right side
    36,326x = 2,373,638,400
  5. Step 5: Solve for x
    x = 2,373,638,400/36,326
  6. Step 6: Final answer
    x = 65,342.69

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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.