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Finding the Third Proportional to 23,296 and 51,168

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Solution

The third proportional to 23,296 and 51,168 is: 112,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296 : 51,168 = 51,168 : x
  2. Step 2: Convert to fraction form
    23,296/51,168 = 51,168/x
  3. Step 3: Cross multiply
    23,296x = 51,168 × 51,168
  4. Step 4: Simplify right side
    23,296x = 2,618,164,224
  5. Step 5: Solve for x
    x = 2,618,164,224/23,296
  6. Step 6: Final answer
    x = 112,386.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.