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Finding the Third Proportional to 23,892 and 52,968

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Solution

The third proportional to 23,892 and 52,968 is: 117,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892 : 52,968 = 52,968 : x
  2. Step 2: Convert to fraction form
    23,892/52,968 = 52,968/x
  3. Step 3: Cross multiply
    23,892x = 52,968 × 52,968
  4. Step 4: Simplify right side
    23,892x = 2,805,609,024
  5. Step 5: Solve for x
    x = 2,805,609,024/23,892
  6. Step 6: Final answer
    x = 117,428.81

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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.