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Finding the Third Proportional to 9,245.39 and 13,864.29

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Solution

The third proportional to 9,245.39 and 13,864.29 is: 20,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.39 : 13,864.29 = 13,864.29 : x
  2. Step 2: Convert to fraction form
    9,245.39/13,864.29 = 13,864.29/x
  3. Step 3: Cross multiply
    9,245.39x = 13,864.29 × 13,864.29
  4. Step 4: Simplify right side
    9,245.39x = 192,218,511.21
  5. Step 5: Solve for x
    x = 192,218,511.21/9,245.39
  6. Step 6: Final answer
    x = 20,790.74

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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.