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Finding the Third Proportional to 24,751 and 55,023

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Solution

The third proportional to 24,751 and 55,023 is: 122,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751 : 55,023 = 55,023 : x
  2. Step 2: Convert to fraction form
    24,751/55,023 = 55,023/x
  3. Step 3: Cross multiply
    24,751x = 55,023 × 55,023
  4. Step 4: Simplify right side
    24,751x = 3,027,530,529
  5. Step 5: Solve for x
    x = 3,027,530,529/24,751
  6. Step 6: Final answer
    x = 122,319.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.