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Finding the Third Proportional to 6,226.88 and 9,365.81

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Solution

The third proportional to 6,226.88 and 9,365.81 is: 14,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.88 : 9,365.81 = 9,365.81 : x
  2. Step 2: Convert to fraction form
    6,226.88/9,365.81 = 9,365.81/x
  3. Step 3: Cross multiply
    6,226.88x = 9,365.81 × 9,365.81
  4. Step 4: Simplify right side
    6,226.88x = 87,718,443.79
  5. Step 5: Solve for x
    x = 87,718,443.79/6,226.88
  6. Step 6: Final answer
    x = 14,087.07

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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.