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Finding the Third Proportional to 23,928 and 52,003

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Solution

The third proportional to 23,928 and 52,003 is: 113,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,928 : 52,003 = 52,003 : x
  2. Step 2: Convert to fraction form
    23,928/52,003 = 52,003/x
  3. Step 3: Cross multiply
    23,928x = 52,003 × 52,003
  4. Step 4: Simplify right side
    23,928x = 2,704,312,009
  5. Step 5: Solve for x
    x = 2,704,312,009/23,928
  6. Step 6: Final answer
    x = 113,018.72

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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.