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Finding the Third Proportional to 8,214.75 and 17,011.69

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Solution

The third proportional to 8,214.75 and 17,011.69 is: 35,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.75 : 17,011.69 = 17,011.69 : x
  2. Step 2: Convert to fraction form
    8,214.75/17,011.69 = 17,011.69/x
  3. Step 3: Cross multiply
    8,214.75x = 17,011.69 × 17,011.69
  4. Step 4: Simplify right side
    8,214.75x = 289,397,511.60
  5. Step 5: Solve for x
    x = 289,397,511.60/8,214.75
  6. Step 6: Final answer
    x = 35,229.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.