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Finding the Third Proportional to 9,296.44 and 13,251.94

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Solution

The third proportional to 9,296.44 and 13,251.94 is: 18,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.44 : 13,251.94 = 13,251.94 : x
  2. Step 2: Convert to fraction form
    9,296.44/13,251.94 = 13,251.94/x
  3. Step 3: Cross multiply
    9,296.44x = 13,251.94 × 13,251.94
  4. Step 4: Simplify right side
    9,296.44x = 175,613,847.50
  5. Step 5: Solve for x
    x = 175,613,847.50/9,296.44
  6. Step 6: Final answer
    x = 18,890.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.