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Finding the Third Proportional to 15,892 and 34,962

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Solution

The third proportional to 15,892 and 34,962 is: 76,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892 : 34,962 = 34,962 : x
  2. Step 2: Convert to fraction form
    15,892/34,962 = 34,962/x
  3. Step 3: Cross multiply
    15,892x = 34,962 × 34,962
  4. Step 4: Simplify right side
    15,892x = 1,222,341,444
  5. Step 5: Solve for x
    x = 1,222,341,444/15,892
  6. Step 6: Final answer
    x = 76,915.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.