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Finding the Third Proportional to 9,387.94 and 14,052.56

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Solution

The third proportional to 9,387.94 and 14,052.56 is: 21,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.94 : 14,052.56 = 14,052.56 : x
  2. Step 2: Convert to fraction form
    9,387.94/14,052.56 = 14,052.56/x
  3. Step 3: Cross multiply
    9,387.94x = 14,052.56 × 14,052.56
  4. Step 4: Simplify right side
    9,387.94x = 197,474,512.82
  5. Step 5: Solve for x
    x = 197,474,512.82/9,387.94
  6. Step 6: Final answer
    x = 21,034.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.