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Finding the Third Proportional to 3,892.50 and 5,244

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Solution

The third proportional to 3,892.50 and 5,244 is: 7,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.50 : 5,244 = 5,244 : x
  2. Step 2: Convert to fraction form
    3,892.50/5,244 = 5,244/x
  3. Step 3: Cross multiply
    3,892.50x = 5,244 × 5,244
  4. Step 4: Simplify right side
    3,892.50x = 27,499,536
  5. Step 5: Solve for x
    x = 27,499,536/3,892.50
  6. Step 6: Final answer
    x = 7,064.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.