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Finding the Third Proportional to 8,176.50 and 10,797.75

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Solution

The third proportional to 8,176.50 and 10,797.75 is: 14,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.50 : 10,797.75 = 10,797.75 : x
  2. Step 2: Convert to fraction form
    8,176.50/10,797.75 = 10,797.75/x
  3. Step 3: Cross multiply
    8,176.50x = 10,797.75 × 10,797.75
  4. Step 4: Simplify right side
    8,176.50x = 116,591,405.06
  5. Step 5: Solve for x
    x = 116,591,405.06/8,176.50
  6. Step 6: Final answer
    x = 14,259.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.