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Finding the Third Proportional to 5,236.84 and 7,891.57

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Solution

The third proportional to 5,236.84 and 7,891.57 is: 11,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.84 : 7,891.57 = 7,891.57 : x
  2. Step 2: Convert to fraction form
    5,236.84/7,891.57 = 7,891.57/x
  3. Step 3: Cross multiply
    5,236.84x = 7,891.57 × 7,891.57
  4. Step 4: Simplify right side
    5,236.84x = 62,276,835.76
  5. Step 5: Solve for x
    x = 62,276,835.76/5,236.84
  6. Step 6: Final answer
    x = 11,892.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.