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Finding the Third Proportional to 9,992.75 and 14,436.56

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Solution

The third proportional to 9,992.75 and 14,436.56 is: 20,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.75 : 14,436.56 = 14,436.56 : x
  2. Step 2: Convert to fraction form
    9,992.75/14,436.56 = 14,436.56/x
  3. Step 3: Cross multiply
    9,992.75x = 14,436.56 × 14,436.56
  4. Step 4: Simplify right side
    9,992.75x = 208,414,336.82
  5. Step 5: Solve for x
    x = 208,414,336.82/9,992.75
  6. Step 6: Final answer
    x = 20,856.55

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.