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Finding the Third Proportional to 24,072 and 50,904

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Solution

The third proportional to 24,072 and 50,904 is: 107,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072 : 50,904 = 50,904 : x
  2. Step 2: Convert to fraction form
    24,072/50,904 = 50,904/x
  3. Step 3: Cross multiply
    24,072x = 50,904 × 50,904
  4. Step 4: Simplify right side
    24,072x = 2,591,217,216
  5. Step 5: Solve for x
    x = 2,591,217,216/24,072
  6. Step 6: Final answer
    x = 107,644.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.