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Finding the Third Proportional to 2,536.31 and 5,475.94

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Solution

The third proportional to 2,536.31 and 5,475.94 is: 11,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.31 : 5,475.94 = 5,475.94 : x
  2. Step 2: Convert to fraction form
    2,536.31/5,475.94 = 5,475.94/x
  3. Step 3: Cross multiply
    2,536.31x = 5,475.94 × 5,475.94
  4. Step 4: Simplify right side
    2,536.31x = 29,985,891.50
  5. Step 5: Solve for x
    x = 29,985,891.50/2,536.31
  6. Step 6: Final answer
    x = 11,822.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.