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Finding the Third Proportional to 12,590.44 and 13,896.56

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Solution

The third proportional to 12,590.44 and 13,896.56 is: 15,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.44 : 13,896.56 = 13,896.56 : x
  2. Step 2: Convert to fraction form
    12,590.44/13,896.56 = 13,896.56/x
  3. Step 3: Cross multiply
    12,590.44x = 13,896.56 × 13,896.56
  4. Step 4: Simplify right side
    12,590.44x = 193,114,449.32
  5. Step 5: Solve for x
    x = 193,114,449.32/12,590.44
  6. Step 6: Final answer
    x = 15,338.18

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.