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Finding the Third Proportional to 9,604.69 and 14,267.81

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Solution

The third proportional to 9,604.69 and 14,267.81 is: 21,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.69 : 14,267.81 = 14,267.81 : x
  2. Step 2: Convert to fraction form
    9,604.69/14,267.81 = 14,267.81/x
  3. Step 3: Cross multiply
    9,604.69x = 14,267.81 × 14,267.81
  4. Step 4: Simplify right side
    9,604.69x = 203,570,473.54
  5. Step 5: Solve for x
    x = 203,570,473.54/9,604.69
  6. Step 6: Final answer
    x = 21,194.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.