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Finding the Third Proportional to 8,439.19 and 17,675.72

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Solution

The third proportional to 8,439.19 and 17,675.72 is: 37,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.19 : 17,675.72 = 17,675.72 : x
  2. Step 2: Convert to fraction form
    8,439.19/17,675.72 = 17,675.72/x
  3. Step 3: Cross multiply
    8,439.19x = 17,675.72 × 17,675.72
  4. Step 4: Simplify right side
    8,439.19x = 312,431,033.33
  5. Step 5: Solve for x
    x = 312,431,033.33/8,439.19
  6. Step 6: Final answer
    x = 37,021.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.