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Finding the Third Proportional to 8,674.50 and 17,672.25

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Solution

The third proportional to 8,674.50 and 17,672.25 is: 36,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.50 : 17,672.25 = 17,672.25 : x
  2. Step 2: Convert to fraction form
    8,674.50/17,672.25 = 17,672.25/x
  3. Step 3: Cross multiply
    8,674.50x = 17,672.25 × 17,672.25
  4. Step 4: Simplify right side
    8,674.50x = 312,308,420.06
  5. Step 5: Solve for x
    x = 312,308,420.06/8,674.50
  6. Step 6: Final answer
    x = 36,003.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.