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Finding the Third Proportional to 23,965 and 52,072

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Solution

The third proportional to 23,965 and 52,072 is: 113,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965 : 52,072 = 52,072 : x
  2. Step 2: Convert to fraction form
    23,965/52,072 = 52,072/x
  3. Step 3: Cross multiply
    23,965x = 52,072 × 52,072
  4. Step 4: Simplify right side
    23,965x = 2,711,493,184
  5. Step 5: Solve for x
    x = 2,711,493,184/23,965
  6. Step 6: Final answer
    x = 113,143.88

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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.