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Finding the Third Proportional to 23,976 and 52,029

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Solution

The third proportional to 23,976 and 52,029 is: 112,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976 : 52,029 = 52,029 : x
  2. Step 2: Convert to fraction form
    23,976/52,029 = 52,029/x
  3. Step 3: Cross multiply
    23,976x = 52,029 × 52,029
  4. Step 4: Simplify right side
    23,976x = 2,707,016,841
  5. Step 5: Solve for x
    x = 2,707,016,841/23,976
  6. Step 6: Final answer
    x = 112,905.27

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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.