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Finding the Third Proportional to 23,840 and 51,696

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Solution

The third proportional to 23,840 and 51,696 is: 112,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840 : 51,696 = 51,696 : x
  2. Step 2: Convert to fraction form
    23,840/51,696 = 51,696/x
  3. Step 3: Cross multiply
    23,840x = 51,696 × 51,696
  4. Step 4: Simplify right side
    23,840x = 2,672,476,416
  5. Step 5: Solve for x
    x = 2,672,476,416/23,840
  6. Step 6: Final answer
    x = 112,100.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.