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Finding the Third Proportional to 24,114 and 51,927

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Solution

The third proportional to 24,114 and 51,927 is: 111,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114 : 51,927 = 51,927 : x
  2. Step 2: Convert to fraction form
    24,114/51,927 = 51,927/x
  3. Step 3: Cross multiply
    24,114x = 51,927 × 51,927
  4. Step 4: Simplify right side
    24,114x = 2,696,413,329
  5. Step 5: Solve for x
    x = 2,696,413,329/24,114
  6. Step 6: Final answer
    x = 111,819.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.