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Finding the Third Proportional to 8,324.44 and 12,360.09

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Solution

The third proportional to 8,324.44 and 12,360.09 is: 18,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.44 : 12,360.09 = 12,360.09 : x
  2. Step 2: Convert to fraction form
    8,324.44/12,360.09 = 12,360.09/x
  3. Step 3: Cross multiply
    8,324.44x = 12,360.09 × 12,360.09
  4. Step 4: Simplify right side
    8,324.44x = 152,771,917.51
  5. Step 5: Solve for x
    x = 152,771,917.51/8,324.44
  6. Step 6: Final answer
    x = 18,352.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.