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Finding the Third Proportional to 14,844.94 and 21,780.56

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Solution

The third proportional to 14,844.94 and 21,780.56 is: 31,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844.94 : 21,780.56 = 21,780.56 : x
  2. Step 2: Convert to fraction form
    14,844.94/21,780.56 = 21,780.56/x
  3. Step 3: Cross multiply
    14,844.94x = 21,780.56 × 21,780.56
  4. Step 4: Simplify right side
    14,844.94x = 474,392,902.82
  5. Step 5: Solve for x
    x = 474,392,902.82/14,844.94
  6. Step 6: Final answer
    x = 31,956.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.