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Finding the Third Proportional to 7,824.09 and 16,761.09

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Solution

The third proportional to 7,824.09 and 16,761.09 is: 35,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.09 : 16,761.09 = 16,761.09 : x
  2. Step 2: Convert to fraction form
    7,824.09/16,761.09 = 16,761.09/x
  3. Step 3: Cross multiply
    7,824.09x = 16,761.09 × 16,761.09
  4. Step 4: Simplify right side
    7,824.09x = 280,934,263.70
  5. Step 5: Solve for x
    x = 280,934,263.70/7,824.09
  6. Step 6: Final answer
    x = 35,906.30

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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.