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Finding the Third Proportional to 23,256 and 48,480

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Solution

The third proportional to 23,256 and 48,480 is: 101,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256 : 48,480 = 48,480 : x
  2. Step 2: Convert to fraction form
    23,256/48,480 = 48,480/x
  3. Step 3: Cross multiply
    23,256x = 48,480 × 48,480
  4. Step 4: Simplify right side
    23,256x = 2,350,310,400
  5. Step 5: Solve for x
    x = 2,350,310,400/23,256
  6. Step 6: Final answer
    x = 101,062.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.