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Finding the Third Proportional to 7,473.09 and 11,724.33

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Solution

The third proportional to 7,473.09 and 11,724.33 is: 18,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.09 : 11,724.33 = 11,724.33 : x
  2. Step 2: Convert to fraction form
    7,473.09/11,724.33 = 11,724.33/x
  3. Step 3: Cross multiply
    7,473.09x = 11,724.33 × 11,724.33
  4. Step 4: Simplify right side
    7,473.09x = 137,459,869.98
  5. Step 5: Solve for x
    x = 137,459,869.98/7,473.09
  6. Step 6: Final answer
    x = 18,393.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.