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Finding the Third Proportional to 26,272 and 34,144

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Solution

The third proportional to 26,272 and 34,144 is: 44,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,272 : 34,144 = 34,144 : x
  2. Step 2: Convert to fraction form
    26,272/34,144 = 34,144/x
  3. Step 3: Cross multiply
    26,272x = 34,144 × 34,144
  4. Step 4: Simplify right side
    26,272x = 1,165,812,736
  5. Step 5: Solve for x
    x = 1,165,812,736/26,272
  6. Step 6: Final answer
    x = 44,374.72

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.