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Finding the Third Proportional to 8,324.44 and 17,833.50

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Solution

The third proportional to 8,324.44 and 17,833.50 is: 38,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.44 : 17,833.50 = 17,833.50 : x
  2. Step 2: Convert to fraction form
    8,324.44/17,833.50 = 17,833.50/x
  3. Step 3: Cross multiply
    8,324.44x = 17,833.50 × 17,833.50
  4. Step 4: Simplify right side
    8,324.44x = 318,033,722.25
  5. Step 5: Solve for x
    x = 318,033,722.25/8,324.44
  6. Step 6: Final answer
    x = 38,204.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.